Artificial teeth easily enabling bilateral balanced occlusion

ABSTRACT

It is intended to provide artificial teeth designed to easily enable bilateral balanced occlusion with less grinding adjustment. According to the present invention, angles formed by occlusal facets of the artificial teeth with an occlusal plane are suitably set. An artificial tooth for maxillary central incisor, for example, has a protrusive facet and a retrusive facet on an incisal edge thereof. Of angles formed by the protrusive facet with the occlusal plane, the angle in cross section along a sagittal plane is 22.0° to 25.5°, and the angle in cross section along a coronal plane is 1.5° to 6.5°. Of angles formed by the retrusive facet with the occlusal plane, the angle in cross section along the sagittal plane is 20.5° to 23.0°, and the angle in cross section along the coronal plane is 1.5° to 6.5°.

TECHNICAL FIELD

The present invention relates to preliminarily polymerized and curedartificial teeth to be used in the production of a denture having a baseplate.

BACKGROUND TECHNOLOGY

An artificial tooth is a dental material used by an odontologist or adental technician in the production of a denture having a base plate.Among the artificial teeth ranging in different sizes and shapes, atooth suitable for a patient's missing tooth and a therapeutic approachis chosen and used.

To produce the artificial tooth, a patient's intraoral counterdie isformed from an impression material and plaster is poured into thecounterdie and then hardened to make a model. The model is then mountedon a device for replicating gnathic motion, called an articulator, toperform a work on the model.

Examples of the articulator are an adjustable articulator in which guidepath angles of joint articulations in lateral movements of the denturecan be adjustably set, and a mean value articulator in which theseangles are set to mean angles of human. In the case where anodontologist determines that any particular angle adjustments areunnecessary, the mean value articulator is used.

In prosthodontic treatment using a complete denture, it is desirable toaccomplish an occlusal state, generally called, bilateral balancedocclusion. There are two types of bilateral balanced occlusion,full-balanced occlusion and balanced occlusion. The full-balancedocclusion denotes an occlusal relation where all of teeth simultaneouslymake contacts in intercuspation and in all of eccentric movements.Clinically, however, the replication is quite difficult due to, forexample, errors generated in alignment and grinding adjustment, whichleaves the balanced occlusion as a practical option. The balancedocclusion denotes an occlusal relation where several teeth may not makeany contact as far as there is gliding motility in two or three teeth ona working side and two or three teeth on a balancing side in theeccentric movements. According to the balanced occlusion, therefore, adenture adapted to mandibular movements, which is different in eachpatient, can be produced through preliminary grinding adjustment duringthe production of the denture followed by final adjustments by theodontologist made on the denture intraorally worn by the patient. Theworking side denotes a side where the row of mandibular teeth shifts toa buccal side relative to the row of maxillary teeth in the lateralmovements, and the balancing side denotes a side opposite thereto. Whenupper and lower jaws are making an occlusal contact and the lower jaw isthen moved, for example, the working side is on right, and the balancingside is on left.

In the Patent Document 1, the present Applicant has proposed artificialteeth wherein a relative positional relation between cuspis dentis andfossete is defined.

The manipulation to enable the bilateral balanced occlusion through thegrinding adjustment is a very time-consuming and demanding precisionwork. Therefore, an artificial tooth ground beforehand into a shape inaccord with the motility of the mean value articulator was along-awaited product in the field of odontologistry.

Patent Document 1: JP Laid-Open Patent Publication 2003-102752

DISCLOSURE OF THE INVENTION Problem to be Solved by the Invention

An object of the present invention is to provide artificial teeth whicheasily enables an establishment of bilateral balanced occlusion withless grinding adjustment in the production of a complete denture usingan articulator wherein an interarch distance is 105 mm, a sagittalcondylar guide angle is 25° relative to a horizontal plane, an angleformed by an occlusal triangle with an occlusal plane is 15°, a sagittalincisal guide angle is 10°, and a lateral incisal guide angle is 10°.

Means for Solving the Problem

In the present invention, angles formed by occlusal facets of thefollowing teeth and an occlusal plane are suitably set; an artificialtooth for maxillary central incisor, an artificial tooth for maxillarylateral incisor, an artificial tooth for maxillary canine, an artificialtooth for maxillary first premolar, an artificial tooth for maxillarysecond premolar, an artificial tooth for maxillary first molar, and anartificial tooth for maxillary second molar. Alos, angles formed byocclusal facets of the following teeth and the occlusal plane aresuitably set; an artificial tooth for mandibular central incisor, anartificial tooth for maxillary lateral incisor, an artificial tooth formandibular canine, an artificial tooth for mandibular first premolar, anartificial tooth for mandibular second premolar, an artificial tooth formandibular first molar, and an artificial tooth for mandibular secondmolar.

In the present invention, a contact positional relation between therespective occlusal facets of the maxillary artificial teeth and themandibular artificial teeth in intercuspation, and a gliding relationbetween a working side and a balancing side in lateral eccentricmovements and between the respective occlusal facets in protrusivemovements are suitably set.

Effect of the Invention

When the artificial teeth according to the present invention are used inthe production of a denture, it becomes easy to obtain such eccentricmovements that there are homogeneous contact and glide between incisaledges of anterior teeth and occlusal facets of posterior teeth ofmaxillary and mandibular artificial teeth at angles in accord with guidepaths of a mean value articulator, resulting in the reduction of anadjustment work. Accordingly, the production of a denture havingreliable occlusion can be expedited, which helps to alleviate the burdenof intricate work on an odontologist or a dental technician.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a view of occlusal surfaces illustrating the alignment ofmaxillary and mandibular artificial teeth.

FIG. 2 is a front view of the maxillary and mandibular artificial teethobserved in a direction perpendicular to a coronal plane.

FIG. 3 is a rear view of the maxillary and mandibular artificial teethobserved in the direction perpendicular to the coronal plane.

FIG. 4 is a front view of the maxillary and mandibular artificial teethobserved in a direction perpendicular to a sagittal plane.

FIG. 5 is a rear view of the maxillary and mandibular artificial teethobserved in the direction perpendicular to the sagittal plane.

FIG. 6 is a perspective view of the maxillary and mandibular artificialteeth observed from a buccal side.

FIG. 7 is a perspective view of the maxillary and mandibular artificialteeth observed from a lingual side.

FIG. 8 is a view of an occlusal surface of an artificial tooth formaxillary central incisor.

FIG. 9 is a view of an occlusal surface of an artificial tooth formaxillary lateral incisor.

FIG. 10 is a view of an occlusal surface of an artificial tooth formaxillary canine.

FIG. 11 is a view of an occlusal surface of an artificial tooth formaxillary first premolar.

FIG. 12 is a view of an occlusal surface of an artificial tooth formaxillary second premolar.

FIG. 13 is a view of an occlusal surface of an artificial tooth formaxillary first molar.

FIG. 14 is a view of an occlusal surface of an artificial tooth formaxillary second molar.

FIG. 15 is a view of an occlusal surface of an artificial tooth formandibular central incisor.

FIG. 16 is a view of an occlusal surface of an artificial tooth formandibular lateral incisor.

FIG. 17 is a view of an occlusal surface of an artificial tooth formandibular canine.

FIG. 18 is a view of an occlusal surface of an artificial tooth formandibular first premolar.

FIG. 19 is a view of an occlusal surface of an artificial tooth formandibular second premolar.

FIG. 20 is a view of an occlusal surface of an artificial tooth formandibular first molar.

FIG. 21 is a view of an occlusal surface of an artificial tooth formandibular second molar.

FIG. 22 is a view of a set of artificial teeth illustrating occlusalfacets thereof that partially make contact in intercuspation.

FIG. 23 is a view of a set of artificial teeth illustrating occlusalfacets thereof that glide toward a working side in lateral, movements.

FIG. 24 is a view of a set of artificial teeth illustrating occlusalfacets thereof that glide toward a balancing side in lateral excursions.

FIG. 25 is a view of a set of artificial teeth illustrating occlusalfacets thereof that glide in protrusive movements.

DESCRIPTION OF THE REFERENCE SYMBOLSP

T1 artificial tooth for maxillary central incisor i1 incisal edge f1protrusive facet f2 retrusive facet T2 artificial tooth for maxillarylateral incisor i2 icisal edge f3 protrusive facet f4 retrusive facet T3artificial tooth for maxillary canine i3 incisal edge f5 protrusivefacet f6 retrusive facet T4 artificial tooth for maxillary firstpremolar c1 buccal cusp apex f7 protrusive facet f8 retrusive facet c2lingual cusp apex f9 balancing facet T5 artificial tooth for maxillarysecond premolar c3 buccal cusp apex f10 protrusive facet f11 retrusivefacet c4 lingual cusp apex f12 balancing facet T6 artificial tooth formaxillary first molar c5 mesiobuccal cusp apex f13 protrusive facet f14retrusive facet c6 distobuccal cusp apex f15 protrusive facet f16retrusive facet c7 mesiobuccal cusp apex f17 balancing facet f18protrusive facet c8 distolingual cusp apex f19 retrusive facet f20balancing facet T7 artificial tooth for maxillary second molar c9mesiobuccal cusp apex f21 protrusive facet f22 retrusive facet c10distobuccal cusp apex f23 retrusive facet c11 mesiolingual cusp apex f24balancing facet f25 protrusive facet T8 artificial tooth for mandibularcentral incisor i4 incisal edge f26 protrusive facet T9 artificial toothfor mandibular lateral incisor i5 incisal edge f27 protrusive facet f28retrusive facet T10 artificial tooth for mandibular canine i6 incisaledge f29 protrusive facet f30 retrusive facet T11 artificial tooth formandibular first premolar c12 buccal cusp apex f31 protrusive facet f32retrusive facet s1 distal fossete f33 balancing facet f34 protrusivefacet T12 artificial tooth for mandibular second premolar c13 buccalcusp apex f35 protrusive facet f36 retrusive facet s2 distal fossete f37balancing facet f38 protrusive facet T13 artificial tooth for mandibularfirst molar c14 mesiobuccal cusp apex f39 protrusive facet f40 retrusivefacet f41 balancing facet c15 distobuccal cusp apex f42 protrusive facetf43 retrusive facet f44 balancing facet c16 distal cusp apex f45protrusive facet f46 balancing facet s3 central fossa f47 protrusivefacet T14 artificial tooth for mandibular second molar c17 mesiobuccalcusp apex f48 protrusive facet f49 retrusive facet f50 balancing facetc18 distobuccal cusp apex f51 protrusive facet f52 retrusive facet f53balancing facet s4 central fossa f54 protrusive facet P1 occlusal planeP2 sagittal plane P3 coronal plane

BEST MODE FOR CARRYING OUT THE INVENTION

(Description of Reference Planes)

Below are described names of reference planes used in the description ofa preferred embodiment of the present invention.

An occlusal plane anatomically denotes an imaginary plane including anincisal point in the row of maxillary or mandibular teeth and cuspapexes of extremitas posterior teeth on left and right. When the presentinvention is actually carried out, an occlusal plane board of anarticulator represents the occlusal plane.

A sagittal plane denotes a plane orthogonal to an intercondylar axis,dividing a human body into left and right portions.

A coronal plane is a plane orthogonal to the sagittal plane and ahorizontal plane.

The horizontal plane denotes a plane in parallel with a ground surface.

(Requirements for Articulator)

In an articulator in which artificial teeth according to the presentinvention are used, an intercondylar distance (distance betweenrotational centers of left and right caput mandibulae) is 105 mm, asigittal condylar guide angle (mandibular movements path in mandibularprotrusive movements projected on the sagittal plane) relative to thehorizontal plane is 25.0°, an angle formed by an occlusal triangle(plane including a triangle obtained by connecting the rotationalcenters of left and right caput mandibulae to an incisal point on theocclusal plane board) with the occlusal plane is 15.0°, a sagittalincisal guide angle (angle formed by a line with the referencehorizontal plane, the line obtained by connecting an incisal point whenthe mandibulae are in intercuspation to an incisal point when upper andlower anterior teeth protrusively move and meet in intercuspation onincisal edges thereof) is 10.0°, and a lateral incisal guide angle(angle formed by a line with the reference horizontal plane, the lineobtained by connecting the incisal point when the mandibulae are inintercuspation to an incisal point when upper and lower anterior teethlaterally move and meet in intercuspation on incisal edges thereof) is10.0°. The occlusal plane board should be in parallel with thehorizontal plane. An adjustable articulator adjusted to meet therequirements may be used.

FIG. 1 is a view of occlusal surfaces illustrating the alignment ofmaxillary and mandibular artificial teeth. FIG. 2 is a front view of themaxillary and mandibular artificial teeth observed in a directionperpendicular to a coronal plane. FIG. 3 is a rear view of the maxillaryand mandibular artificial teeth observed in the direction perpendicularto the coronal plane. FIG. 4 is a front view of the maxillary andmandibular artificial teeth observed in a direction perpendicular to asagittal plane. FIG. 5 is a rear view of the maxillary and mandibularartificial teeth observed in the direction perpendicular to the sagittalplane. FIG. 6 is a perspective view of the maxillary and mandibularartificial teeth observed from a buccal side. FIG. 7 is a perspectiveview of the maxillary and mandibular artificial teeth observed from alingual side.

As illustrated in these views, the maxillary artificial teeth include anartificial tooth for maxillary central incisor T1; an artificial toothfor maxillary lateral incisor T2, an artificial tooth for maxillarycanine T3, an artificial tooth for maxillary first premolar T4, anartificial tooth for maxillary second premolar T5, an artificial toothfor maxillary first molar T6, and an artificial tooth for maxillarysecond molar T7. The mandibular artificial teeth similarly include anartificial tooth for mandibular central incisor T8, an artificial toothfor mandibular lateral incisor T9, an artificial tooth for mandibularcanine T10, an artificial tooth for mandibular first premolar T11, anartificial tooth for mandibular second premolar T12, an artificial toothfor mandibular first molar T13, and an artificial tooth for mandibularsecond molar T14.

FIG. 8 illustrates the artificial tooth for maxillary central incisorT1. The artificial tooth for maxillary central incisor T1 has aprotrusive facet f1 and a retrusive facet f2 on an incisal edge i1.

Of angles formed by the protrusive facet f1 with the occlusal plane P1,the angle (θ1s) in cross section along the sagittal plane P2 is 22.0° to25.5°, and preferably 23.5° to 24.5°, and the angle (θ1f) in crosssection along the coronal plane P3 is 1.5° to 6.5°, and preferably 3.5°to 4.5°.

Of angles formed by the retrusive facet f2 with the occlusal plane P1,the angle (θ2s) in cross section along the sagittal plane P2 is 20.5° to23.0°, and preferably 21.0° to 22.0°, and the angle (θ2f) in crosssection along the coronal plane P3 is 1.5° to 6.5°, and preferably 2.5°to 5.5°.

FIG. 9 illustrates the artificial tooth for maxillary lateral incisorT2.

The artificial tooth for maxillary lateral incisor T2 has a protrusivefacet f3 and a retrusive facet f4 on an incisal edge i2.

Of angles formed by the protrusive facet f3 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 23.0° to28.0°, and preferably 25.0° to 26.0°, and the angle in cross sectionalong the coronal plane P3 is 15.0° to 17.0°, and preferably 15.5° to16.5°.

Of angles formed by the retrusive facet f4 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 16.0° to22.0°, and preferably 17.0° to 20.0°, and the angle in cross sectionalong the coronal plane P3 is 9.5° to 10.5°, and preferably 10.0° to10.5°.

FIG. 10 illustrates the artificial tooth for maxillary canine T3.

The artificial tooth for maxillary canine T3 has a protrusive facet f5and a retrusive facet f6 on an incisal edge i3.

Of angles formed by the protrusive facet f5 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 25.0° to31.0°, and preferably 26.0° to 30.0°, and the angle in cross sectionalong the coronal plane P3 is 1.5° to 5.0°, and preferably 2.5° to 4.5°.

Of angles formed by the retrusive facet f6 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 8.5° to 22.5°,and preferably 10.0° to 15.0°, and the angle in cross section along thecoronal plane P3 is 18.0° to 25.0°, and preferably 19.0° to 24.0°.

FIG. 11 illustrates the artificial tooth for maxillary first premolarT4.

The artificial tooth for maxillary first premolar T4 has a protrusivefacet f7 and a retrusive facet f8 near a buccal cusp apex c1, and abalancing facet f9 near a lingual cusp apex c2.

Of angles formed by the protrusive facet f7 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 24.5° to27.5°, and preferably 25.5° to 27.0°, and the angle in cross sectionalong the coronal plane P3 is 8.5° to 16.4°, and preferably 10.0° to15.0°.

Of angles formed by the retrusive facet f8 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 18.5° to27.0°, and preferably 20.5° to 25.0°, and the angle in cross sectionalong the coronal plane P3 is 10.0° to 18.0°, and preferably 13.5° to16.5°.

Of angles formed by the balancing facet f9 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 1.5° to 4.5°,and preferably 2.0° to 3.5°, and the angle in cross section along thecoronal plane P3 is 29.5° to 35.5°, and preferably 30.0° to 35.0°.

FIG. 12 illustrates the artificial tooth for maxillary second premolarT5.

The artificial tooth for maxillary second premolar T5 has a protrusivefacet f10 and a retrusive facet f11 near a buccal cusp apex c3, and abalancing facet f12 near a lingual cusp apex c4.

Of angles formed by the protrusive facet f10 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 23.0° to28.0°, and preferably 23.5° to 27.0°, and the angle in cross sectionalong the coronal plane P3 is 10.0° to 19.0°, and preferably 12.5° to15.5°.

Of angles formed by the retrusive facet f11 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 16.5° to19.0°, and preferably 17.5° to 18.5°, and the angle in cross sectionalong the coronal plane P3 is 13.0° to 17.5°, and preferably 14.0° to15.5°.

Of angles formed by the balancing facet f12 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 6.0° to 10.0°,and preferably 7.5° to 9.0°, and the angle in cross section along thecoronal plane P3 is 25.5° to 29.0°, and preferably 27.0° to 28.0°.

FIG. 13 illustrates the artificial tooth for maxillary first molar T6.

The artificial tooth for maxillary first molar T6 has a protrusive facetf13 and a retrusive facet f14 near a mesiobuccal cusp apex c5, and aprotrusive facet f15 and a retrusive facet f16 near a distobuccal cuspapex c6. The artificial tooth for maxillary first molar T6 further has abalancing facet f17 and a protrusive facet f18 near a mesiolingual cuspapex c7, and a retrusive facet f19 and a balancing facet f20 near adistolingual cusp apex c8.

Of angles formed by the protrusive facet f13 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 18.5° to21.0°, and preferably 19.5° to 20.5°, and the angle in cross sectionalong the coronal plane P3 is 5.0° to 11.0°, and preferably 6.0° to10.0°.

Of angles formed by the retrusive facet f14 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 7.0° to 12.0°,and preferably 7.5° to 10.0°, and the angle in cross section along thecoronal plane P3 is 9.0° to 13.0°, and preferably 10.0° to 12.0°.

Of angles formed by the protrusive facet f15 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 15.5° to19.5°, and preferably 17.0° to 18.5°, and the angle in cross sectionalong the coronal plane P3 is 8.0° to 9.0°, and preferably 8.5° to 9.0°.

Of angles formed by the retrusive facet f16 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 18.5° to23.0°, and preferably 19.0° to 21.0°, and the angle in cross sectionalong the coronal plane P3 is 11.0° to 13.5°, and preferably 12.0° to13.0°.

Of angles formed by the balancing facet f17 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 14.5° to16.5°, and preferably 15.0° to 16.0°, and the angle in cross sectionalong the coronal plane P3 is 40.0° to 42.0°, and preferably 40.5° to41.5°.

Of angles formed by the protrusive facet f18 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 18.5° to19.5°, and preferably 18.5° to 19.0°, and the angle in cross sectionalong the coronal plane P3 is 4.5° to 6.5°, and preferably 5.0° to 6.0°.

Of angles formed by the retrusive facet f19 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 6.5° to 7.5°,and preferably 7.0° to 7.5°, and the angle in cross section along thecoronal plane P3 is 15.5° to 18.0°, and preferably 16.0° to 17.5°.

Of angles formed by the balancing facet f20 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 3.0° to 12.0°,and preferably 5.0° to 10.0°, and the angle in cross section along thecoronal plane P3 is 32.0° to 38.5°, and preferably 33.0° to 37.0°.

FIG. 14 illustrates the artificial tooth for maxillary second molar T7.

The artificial tooth for maxillary second molar T7 has a protrusivefacet f21 and a retrusive facet f22 near a mesiobuccal cusp apex c9, anda retrusive facet f23 near a distobuccal cusp apex c10. The artificialtooth for maxillary second molar T7 further has a balancing facet f24and a protrusive facet f25 near a mesiolingual cusp apex c11.

Of angles formed by the protrusive facet f21 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 22.5° to25.5°, and preferably 23.0° to 25.0°, and the angle in cross sectionalong the coronal plane P3 is 1.0° to 2.5°, and preferably 1.5° to 2.0°.

Of angles formed by the retrusive facet f22 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 9.5° to 17.5°,and preferably 10.0° to 15.0°, and the angle in cross section along thecoronal plane P3 is 13.0° to 16.5°, and preferably 14.0° to 15.5°.

Of angles formed by the retrusive facet f23 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 6.5° to 12.0°,and preferably 7.0° to 11.5°, and the angle in cross section along thecoronal plane P3 is 4.5° to 7.0°, and preferably 5.0° to 6.5°.

Of angles formed by the balancing facet f24 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 0.5° to 10.0°,and preferably 2.0° to 7.5°, and the angle in cross section along thecoronal plane P3 is 38.5° to 47.0°, and preferably 39.0° to 45.0°.

Of angles formed by the protrusive facet f25 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 20.5° to22.5°, and preferably 21.0° to 22.0°, and the angle in cross sectionalong the coronal plane P3 is 1.5° to 6.0°, and preferably 2.0° to 4.0°.

FIG. 15 illustrates the artificial tooth for mandibular central incisorT8.

The artificial tooth for mandibular central incisor T8 has a protrusivefacet f26 on an incisal edge i4.

Of angles formed by the protrusive facet f26 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 (θ26 s) is 27.0°to 35.0°, and preferably 28.0° to 33.5°, and the angle in cross sectionalong the coronal plane P3 (θ26 f) is 3.5° to 12.5°, and preferably 5.0°to 11.0°.

FIG. 16 illustrates the artificial tooth for mandibular lateral incisorT9.

The artificial tooth for mandibular lateral incisor T9 has a protrusivefacet f27 and a retrusive facet f28 on an incisal edge i5.

Of angles formed by the protrusive facet f27 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 31.0° to35.0°, and preferably 32.0° to 33.5°, and the angle in cross sectionalong the coronal plane P3 is 0.0° to 1.5°, and preferably 0.5° to 1.0°.

Of angles formed by the retrusive facet f28 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 22.0° to35.0°, and preferably 23.0° to 30.5°, and the angle in cross sectionalong the coronal plane P3 is 17.5° to 26.5°, and preferably 18.0° to23.5°.

FIG. 17 illustrates the artificial tooth for mandibular canine T10.

The artificial tooth for mandibular canine T10 has a protrusive facetf29 and a retrusive facet f30 on an incisal edge i6.

Of angles formed by the protrusive facet f29 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 23.0° to28.0°, and preferably 24.0° to 26.0°, and the angle in cross sectionalong the coronal plane P3 is 0.5° to 10.0°, and preferably 2.5° to8.0°.

Of angles formed by the retrusive facet f30 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 14.5° to18.0°, and preferably 15.0° to 16.5°, and the angle in cross sectionalong the coronal plane P3 is 16.0° to 21.0°, and preferably 17.5° to19.5°.

FIG. 18 illustrates the artificial tooth for mandibular first premolarT11.

The artificial tooth for mandibular first premolar T11 has a protrusivefacet f31 and a retrusive facet f32 around a buccal cusp apex c12, and abalancing facet f33 and a protrusive facet f34 near a distal fossete s1.

Of angles formed by the protrusive facet f31 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 38.0° to41.0°, and preferably 39.0° to 40.0°, and the angle in cross sectionalong the coronal plane P3 is 5.0° to 8.5°, and preferably 6.0° to 7.5°.

Of angles formed by the retrusive facet f32 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 7.0° to 17.5°,and preferably 10.0° to 15.0°, and the angle in cross section along thecoronal plane P3 is 9.0° to 15.5°, and preferably 10.0° to 13.5°.

Of angles formed by the balancing facet f33 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 15.0° to24.0°, and preferably 16.0° to 23.0°, and the angle in cross sectionalong the coronal plane P3 is 29.0° to 32.0°, and preferably 30.0° to31.0°.

Of angles formed by the protrusive facet f34 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 3.5° to 10.0°,and preferably 5.0° to 7.5°, and the angle in cross section along thecoronal plane P3 is 1.0° to 5.0°, and preferably 2.5° to 4.5°.

FIG. 19 illustrates the artificial tooth for mandibular second premolarT12.

The artificial tooth for mandibular second premolar T12 has a protrusivefacet f35 and a retrusive facet f36 around a buccal cusp apex c13, and abalancing facet f37 and a protrusive facet f38 near a distal fossete s2.

Of angles formed by the protrusive facet f35 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 27.5° to30.0°, and preferably 28.0° to 29.0°, and the angle in cross sectionalong the coronal plane P3 is 16.0° to 19.0°, and preferably 17.5° to18.5°.

Of angles formed by the retrusive facet f36 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 13.0° to15.0°, and preferably 13.5° to 14.5°, and the angle in cross sectionalong the coronal plane P3 is 17.0° to 24.0°, and preferably 18.5° to23.0°.

Of angles formed by the balancing facet f37 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 1.5° to 17.0°,and preferably 15.5° to 16.5°, and the angle in cross section along thecoronal plane P3 is 10.0° to 16.5°, and preferably 12.0° to 15.5°.

Of angles formed by the protrusive facet f38 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 2.0° to 5.0°,and preferably 3.0° to 4.0°, and the angle in cross section along thecoronal plane P3 is 12.0° to 14.5°, and preferably 12.5° to 13.5°.

FIG. 20 illustrates the artificial tooth for mandibular first molar T13.

The artificial tooth for mandibular first molar T13 has a protrusivefacet f39, a retrusive facet f40 and a balancing facet f41 around amesiobuccal cusp apex c14, and a protrusive facet f42, a retrusive facetf43 and a balancing facet f44 around a distobuccal cusp apex c15. Theartificial tooth for mandibular first molar T13 further has a protrusivefacet f45 and a balancing facet f46 around a distal cusp apex c16, and aprotrusive facet f47 near a central fossa s3.

Of angles formed by the protrusive facet f39 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 23.5° to32.0°, and preferably 25.0° to 30.0°, and the angle in cross sectionalong the coronal plane P3 is 7.0° to 15.0°, and preferably 8.0° to12.0°.

Of angles formed by the retrusive facet f40 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 7.5° to 12.0°,and preferably 9.0° to 11.0°, and the angle in cross section along thecoronal plane P3 is 14.0° to 16.0°, and preferably 14.5 to 15.5°.

Of angles formed by the balancing facet f41 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 2.0° to 5.5°,and preferably 3.0° to 4.5°, and the angle in cross section along thecoronal plane P3 is 30.0° to 32.0°, and preferably 30.0° to 31.5°.

Of angles formed by the protrusive facet f42 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 15.5° to21.0°, and preferably 16.0° to 19.0°, and the angle in cross sectionalong the coronal plane P3 is 8.0° to 11.0°, and preferably 9.0° to10.5°.

Of angles formed by the retrusive facet f43 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 25.0° to27.0°, and preferably 25.5° to 26.0°, and the angle in cross sectionalong the coronal plane P3 is 24.0° to 25.0°, and preferably 24.5° to25.0°.

Of angles formed by the balancing facet f44 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 12.0° to20.0°, and preferably 13.5° to 18.5°, and the angle in cross sectionalong the coronal plane P3 is 30.0° to 37.0°, and preferably 31.5° to33.5°.

Of angles formed by the protrusive facet f45 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 7.5° to 13.0°,and preferably 9.0° to 11.5°, and the angle in cross section along thecoronal plane P3 is 10.0° to 13.0°, and preferably 10.5° to 12.0°.

Of angles formed by the balancing facet f46 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 2.5° to 4.5°,and preferably 3.0° to 4.0°, and the angle in cross section along thecoronal plane P3 is 27.0° to 33.0°, and preferably 29.0° to 32.0°.

Of angles formed by the protrusive facet f47 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 10.5° to18.5°, and preferably 12.5° to 16.5°, and the angle in cross sectionalong the coronal plane P3 is 1.0° to 8.0°, and preferably 2.5° to 6.0°.

FIG. 21 illustrates the artificial tooth for mandibular second molarT14.

The artificial tooth for mandibular second molar T14 has a protrusivefacet f48, a retrusive facet f49 and a balancing facet f50 around amesiobuccal cusp apex c17. The artificial tooth for mandibular secondmolar T14 further has a protrusive facet f51, a retrusive facet f52 anda balancing facet f53 around a distobuccal cusp apex c18, and aprotrusive facet f54 near a central fossa s4.

Of angles formed by the protrusive facet f48 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 26.0° to30.0°, and preferably 27.0° to 29.0°, and the angle in cross sectionalong the coronal plane P3 is 10.0° to 13.0°, and preferably 10.5° to12.5°.

Of angles formed by the retrusive facet f49 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 14.0° to16.0°, and preferably 14.5° to 15.5°, and the angle in cross sectionalong the coronal plane P3 is 15.0° to 17.5°, and preferably 15.5 to17.0°.

Of angles formed by the balancing facet f50 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 2.5° to 3.5°,and preferably 2.5° to 3.0°, and the angle in cross section along thecoronal plane P3 is 34.0° to 38.0°, and preferably 35.0° to 37.0°.

Of angles formed by the protrusive facet f51 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 17.0° to21.0°, and preferably 18.0° to 20.0°, and the angle in cross sectionalong the coronal plane P3 is 4.5° to 6.5°, and preferably 5.0° to 6.0°.

Of angles formed by the retrusive facet f52 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 19.0° to22.0°, and preferably 19.5° to 21.0°, and the angle in cross sectionalong the coronal plane P3 is 13.0° to 14.5°, and preferably 13.5° to14.0°.

Of angles formed by the balancing facet f53 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 1.0° to 3.0°,and preferably 1.5° to 2.5°, and the angle in cross section along thecoronal plane P3 is 34.0° to 38.0°, and preferably 35.0° to 37.0°.

Of angles formed by the protrusive facet f54 with the occlusal plane P1,the angle in cross section along the sagittal plane P2 is 15.5° to23.0°, and preferably 17.0° to 20.0°, and the angle in cross sectionalong the coronal plane P3 is 5.5° to 12.0°, and preferably 7.0° to10.0°.

When the maxillary artificial teeth and the mandibular artificial teethrespectively having the occlusal facets described so far are set in amean value articulator, the occusal facets make the following contactsin intercuspation as illustrated in FIG. 22.

The protrusive facet f1 of the artificial tooth for maxillary centralincisor T1 partially contacts the protrusive facet f27 of the artificialtooth for mandibular lateral incisor T9.

The retrusive facet f2 of the artificial tooth for maxillary centralincisor T1 partially contacts the protrusive facet f26 of the artificialtooth for mandibular central incisor T8.

The protrusive facet f3 of the artificial tooth for maxillary lateralincisor T2 partially contacts the protrusive facet f29 of the artificialtooth for mandibular canine T10.

The retrusive facet f4 of the artificial tooth for maxillary lateralincisor T2 partially contacts the retrusive facet f28 of the artificialtooth for mandibular lateral incisor T9.

The protrusive facet f5 of the artificial tooth for maxillary canine T3partially contacts the protrusive facet f31 of the artificial tooth formandibular first premolar T11.

The retrusive facet f6 of the artificial tooth for maxillary canine T3partially contacts the retrusive facet f30 of the artificial tooth formandibular canine T10.

The protrusive facet f7 of the artificial tooth for maxillary firstpremolar T4 partially contacts the protrusive facet f35 of theartificial tooth for mandibular second premolar T12.

The retrusive facet f8 of the artificial tooth for maxillary firstpremolar T4 partially contacts the retrusive facet f32 of the artificialtooth for mandibular first premolar T11.

The balancing facet f9 of the artificial tooth for maxillary firstpremolar T4 partially contacts the balancing facet f33 of the artificialtooth for mandibular first premolar T11.

The protrusive facet f10 of the artificial tooth for maxillary secondpremolar T5 partially contacts the protrusive facet f39 of theartificial tooth for mandibular first molar T13.

The retrusive facet f11 of the artificial tooth for maxillary secondpremolar T5 partially contacts the retrusive facet f36 of the artificialtooth for mandibular second premolar T12.

The balancing facet f12 of the artificial tooth for maxillary secondpremolar T5 partially contacts the balancing facet f37 of the artificialtooth for mandibular second premolar T12.

The protrusive facet f13 of the artificial tooth for maxillary firstmolar T6 partially contacts the protrusive facet f42 of the artificialtooth for mandibular first molar T13.

The retrusive facet f14 of the artificial tooth for maxillary firstmolar T6 partially contacts the retrusive facet f40 of the artificialtooth for mandibular first molar T13.

The protrusive facet f15 of the artificial tooth for maxillary firstmolar T6 partially contacts the protrusive facet f45 of the artificialtooth for mandibular first molar T13.

The retrusive facet f16 of the artificial tooth for maxillary firstmolar T6 partially contacts the retrusive facet f43 of the artificialtooth for mandibular first molar T13.

The balancing facet f17 of the artificial tooth for maxillary firstmolar T6 partially contacts the balancing facet f44 of the artificialtooth for mandibular first molar T13.

The protrusive facet f18 of the artificial tooth for maxillary firstmolar T6 partially contacts the protrusive facet f47 of the artificialtooth for mandibular first molar T13.

The balancing facet f20 of the artificial tooth for maxillary firstmolar T6 partially contacts the balancing facet f46 of the artificialtooth for mandibular first molar T13.

The protrusive facet f21 of the artificial tooth for maxillary secondmolar T7 partially contacts the protrusive facet f51 of the artificialtooth for mandibular second molar T14.

The retrusive facet f22 of the artificial tooth for maxillary secondmolar T7 partially contacts the retrusive facet f49 of the artificialtooth for mandibular second molar T14.

The retrusive facet f23 of the artificial tooth for maxillary secondmolar T7 partially contacts the retrusive facet f52 of the artificialtooth for mandibular second molar T14.

The balancing facet f24 of the artificial tooth for maxillary secondmolar T7 partially contacts the balancing facet f53 of the artificialtooth for mandibular second molar T14.

The protrusive facet f25 of the artificial tooth for maxillary secondmolar T7 partially contacts the protrusive facet f54 of the artificialtooth for mandibular second molar T14.

Below are described the gliding motility of the occlusal facets on theworking and balancing sides in the protrusive and lateral movements.

As illustrated in FIG. 23, the gliding motility on the working side inthe lateral movements is as follows.

The retrusive facet f4 of the artificial tooth for maxillary lateralincisor T2 partially glides along the retrusive facet f28 of theartificial tooth for mandibular lateral incisor T9.

The retrusive facet f6 of the artificial tooth for maxillary canine T3partially glides along the retrusive facet f30 of the artificial toothfor mandibular canine T10.

The retrusive facet f8 of the artificial tooth for maxillary firstpremolar T4 partially glides along the retrusive facet f32 of theartificial tooth for mandibular first premolar T11.

The retrusive facet f11 of the artificial tooth for maxillary secondpremolar T5 partially glides along the retrusive facet f36 of theartificial tooth for mandibular second premolar T12.

The retrusive facet f14 of the artificial tooth for maxillary firstmolar T6 partially glides along the retrusive facet f40 of theartificial tooth for mandibular first molar T13.

The retrusive facet f16 of the artificial tooth for maxillary firstmolar T6 partially glides along the retrusive facet f43 of theartificial tooth for mandibular first molar T13.

The protrusive facet f18 of the artificial tooth for maxillary firstmolar T6 partially glides along the protrusive facet f47 of theartificial tooth for mandibular first molar T13.

The retrusive facet f22 of the artificial tooth for maxillary secondmolar T7 partially glides along the retrusive facet f49 of theartificial tooth for mandibular second molar T14.

The retrusive facet f23 of the artificial tooth for maxillary secondmolar T7 partially glides along the retrusive facet f52 of theartificial tooth for mandibular second molar T14.

The protrusive facet f25 of the artificial tooth for maxillary secondmolar T7 partially glides along the protrusive facet f54 of theartificial tooth for mandibular second molar T14.

As illustrated in FIG. 24, the gliding motility on the balancing side inthe lateral movements is as follows.

The balancing facet f9 of the artificial tooth for maxillary firstpremolar T4 partially glides along the balancing facet f33 of theartificial tooth for mandibular first premolar T11.

The balancing facet f12 of the artificial tooth for maxillary secondpremolar T5 partially glides along the balancing facet f37 of theartificial tooth for mandibular second premolar T12 and the balancingfacet f41 of the artificial tooth for mandibular first molar T13.

The balancing facet f17 of the artificial tooth for maxillary firstmolar T6 partially glides along the balancing facet f44 of theartificial tooth for mandibular first molar T13.

The balancing facet f20 of the artificial tooth for maxillary firstmolar T6 partially glides along the balancing facet f46 of theartificial tooth for mandibular first molar T13 and the balancing facetf50 of the artificial tooth for mandibular second molar T14.

The balancing facet f24 of the artificial tooth for maxillary secondmolar T7 partially glides along the balancing facet f53 of theartificial tooth for mandibular second molar T14.

As illustrated in FIG. 25, the gliding motility in the protrusivemovements is as follows.

The protrusive facet f1 of the artificial tooth for maxillary centralincisor T1 partially glides along the protrusive facet f27 of theartificial tooth for mandibular lateral incisor T9.

The retrusive facet f2 of the artificial tooth for maxillary centralincisor T1 partially glides along the protrusive facet f26 of theartificial tooth for mandibular central incisor T8.

The protrusive facet f3 of the artificial tooth for maxillary lateralincisor T2 partially glides along the protrusive facet f29 of theartificial tooth for mandibular canine T10.

The protrusive facet f5 of the artificial tooth for maxillary canine T3partially glides along the protrusive facet f31 of the artificial toothfor mandibular first premolar T11.

The protrusive facet f7 of the artificial tooth for maxillary firstpremolar T4 partially glides along the protrusive facet f35 of theartificial tooth for mandibular second premolar T12.

The protrusive facet f10 of the artificial tooth for maxillary secondpremolar T5 partially glides along the protrusive facet f39 of theartificial tooth for mandibular first molar T13.

The protrusive facet f13 of the artificial tooth for maxillary firstmolar T6 partially glides along the protrusive facet f42 of theartificial tooth for mandibular first molar T13.

The protrusive facet f15 of the artificial tooth for maxillary firstmolar T6 partially glides along the protrusive facet f45 of theartificial tooth for mandibular first molar T13 and the protrusive facetf48 of the artificial tooth for mandibular second molar T14.

The balancing facet f18 of the artificial tooth for maxillary firstmolar T6 partially glides along the protrusive facet f47 of theartificial tooth for mandibular first molar T13.

The protrusive facet f21 of the artificial tooth for maxillary secondmolar T7 partially glides along the protrusive facet f51 of theartificial tooth for mandibular second molar T14.

The protrusive facet f25 of the artificial tooth for maxillary secondmolar T7 partially glides along the protrusive facet f54 of theartificial tooth for mandibular second molar T14.

Examples of a material used for the artificial teeth according to thepresent preferred embodiment are ceramic materials such as feldspar,quarts and silica, and resin materials conventionally used in the fieldof odontologistry such as composite resin including a resin component,for example, MMA, UDMA, EDMA or Bis-GMA and an organic or inorganicfiller, and acrylic resin. Any of these materials is suitably selected.

In the production of the artificial tooth, it is desirable to separatelyform a plurality of layers using materials having at least two differentcolor tones respective for enamel and dentine layers and multilayer themto improve an aesthetic impression. Any of the foregoing materials issuitably selected. The two layers respectively having different colortones may be made of either a single material or two different materialsdifferently colored beforehand.

The molding method can be suitably selected from compression molding,injection molding, and injection and compression molding.

The artificial teeth described so far are characterized in that theangles formed by the occlusal facets thereof with the occlusal plane ofthe mean value articulator were suitably set in advance so that theocclusal relation, generally called bilateral balanced occlusion, isretained. When the artificial teeth according to the present inventionare used in the mean value articulator, a denture in a constant occlusalstate can be effectively produced in a short period of time with lesswork in occlusal adjustments.

EXAMPLES

Below are described examples.

Nine dental technicians engaged in the alignment of artificial teethwere selected as their routine task for an alignment test of sampleartificial teeth according to the present invention using Handy IIAarticulator supplied by SHOFU INC. loaded with a toothless plastermodel. Table 1 shows required time and objective evaluation onachievement of “bilateral balanced occlusion”, and their own subjectiveevaluation on “if they found it easy to obtain the bilateral balancedocclusion”.

TABLE 1 Required time Subjective (min) Achievement evaluation Dentaltechnician A 45 Δ ∘ Dental technician B 43 ∘ ∘ Dental technician C 42 ∘∘ Dental technician D 88 Δ ∘ Dental technician E 46 Δ x Dentaltechnician F 35 ∘ ∘ Dental technician G 40 ∘ ∘ Dental technician H 37 ∘∘ Dental technician I 46 ∘ ∘

INDUSTRIAL APPLICABILITY

The present invention relates to artificial teeth used in a denturehaving a base plate produced by an odontologist or a dental technicianfor prosthodontic treatment.

An artificial tooth is an industrial product ranging in differentdesigns and sizes, and the odontologist or dental technician chooses anysuitable tooth from the available products.

The artificial teeth according to the present invention can be used foreducation, for example, practical trainings for students in learningteeth alignment and occlusal adjustment.

The invention claimed is:
 1. A set of artificial teeth comprising: anartificial tooth for maxillary first premolar (T4) having two facets, aprotrusive facet (f7) and a retrusive facet (f8), situated around abuccal cusp apex (C1), and one facet, a balancing facet (f9), situatedaround a lingual cusp apex (C2), wherein, of angles formed by theprotrusive facet (f7) near the buccal cusp apex (C1) with an occlusalplane (P1), the angle in cross section along a sagittal plane (P2) is24.5° to 27.5°, and the angle in cross section along a coronal plane(P3) is 8.5° to 16.4°, wherein, of angles formed by the retrusive facet(f8) near the buccal cusp apex (C1) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 18.5° to 27.0°,and the angle in cross section along the coronal plane is 10.0° to18.0°, and wherein, of angles formed by the balancing facet (f9) nearthe lingual cusp apex (C2) with the occlusal plane(P1), the angle incross section along the sagittal plane (P2) is 1.5° to 4.5°, and theangle in cross section along the coronal plane (P3) is 29.5° to 35.5°;and an artificial tooth for mandibular first premolar (T11) having twofacets, a protrusive facet (f31) and a retrusive facet (f32), situatedaround a buccal cusp apex (C12), one facet, a balancing facet (f33),situated along a distal marginal ridge, and one facet, a protrusivefacet (f34), situated around a lingual cusp apex, wherein, of anglesformed by the protrusive facet (f31) near the buccal cusp apex (C12)with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 38.0° to 41.0°, and the angle in cross sectionalong the coronal plane (P3) is 5.0° to 8.5°, wherein, of angles formedby the retrusive facet (f32) near the buccal cusp apex (C12) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 7.0° to 17.5°, and the angle in cross section along the coronalplane (P3) is 9.0° to 15.5°, wherein, of angles formed by the balancingfacet (f33) near the distal marginal ridge with the occlusal plane (P1),the angle in cross section along the sagittal plane (P2) is 15.0° to24.0°, and the angle in cross section along the coronal plane (P3) is29.0° to 32.0°, and wherein, of angles formed by the protrusive facet(f34) near the lingual cusp apex with the occlusal plane (P1), the anglein cross section along the sagittal plane (P2) is 3.5° to 10.0°, and theangle in cross section along the coronal plane (P3) is 1.0° to 5.0°;wherein the facets make the following contacts in intercuspation, theretrusive facet (f8) of the artificial tooth for maxillary firstpremolar (T4) contacts the retrusive facet (f32) of the artificial toothfor mandibular first premolar (T11), and the balancing facet (f9) of theartificial tooth for maxillary first premolar (T4) contacts thebalancing facet (f33) of the artificial tooth for mandibular firstpremolar (T11); wherein the facets have the following gliding motilitywhen functioning as a working side in lateral movements, the retrusivefacet (f8) of the artificial tooth for maxillary first premolar (T4)glides along the retrusive facet (f32) of the artificial tooth formandibular first premolar (T11); and wherein, the facets have thefollowing gliding motility when functioning as a balancing side inlateral movements, the balancing facet (f9) of the artificial tooth formaxillary first premolar (T4) glides along the balancing facet (f33) ofthe artificial tooth for mandibular first premolar (T11).
 2. A set ofartificial teeth comprising: an artificial tooth for maxillary secondpremolar (T5) having two facets, a protrusive facet (f10) and aretrusive facet (f11), situated around a buccal cusp apex (C3), and onefacet, a balancing facet (f12), situated around a lingual cusp apex(C4), wherein,of angles formed by the protrusive facet (f10) near thebuccal cusp apex (C3) with an occlusal plane (P1), the angle in crosssection along a sagittal plane (P2) is 23.0° to 28.0°, and the angle incross section along a coronal plane (P3) is 10.0° to 19.0°, wherein, ofangles formed by the retrusive facet (f11) near the buccal cusp apex(C3) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 16.5° to 19.0°, and the angle in cross sectionalong the coronal plane (P3) is 13.0° to 17.5°, and wherein, of anglesformed by the balancing facet (f12) near the lingual cusp apex (C4) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 6.0° to 10.0°, and the angle in cross section along thecoronal plane (P3) is 25.5° to 29.0°; and an artificial tooth formandibular second premolar (T12) having two facets, a protrusive facet(f35) and a retrusive facet (f36), situated around a buccal cusp apex(C13), one facet, a balancing facet (f37), situated along a distalmarginal ridge, and one facet, a protrusive facet (f38), situated arounda lingual cusp apex, wherein, of angles formed by the protrusive facet(f35) near the buccal cusp apex (C13) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 27.5° to 30.0°,and the angle in cross section along the coronal plane (P3) is 16.0° to19.0°, wherein, of angles formed by the retrusive facet (f36) near thebuccal cusp apex (C13) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 13.0° to 15.0°, and the anglein cross section along the coronal plane (P3) is 17.0° to 24.0°,wherein, of angles formed by the balancing facet (f37) near the distalmarginal ridge with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 1.5° to 17.0°, and the angle in crosssection along the coronal plane (P3) is 10.0° to 16.5°, and wherein, ofangles formed by the protrusive facet (f38) near the lingual cusp apexwith the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 2.0° to 5.0°, and the angle in cross sectionalong the coronal plane (P3) is 12.0° to 14.5°; wherein the facets makethe following contacts in intercuspation, the retrusive facet (f11) ofthe artificial tooth for maxillary second premolar (T5) contacts theretrusive facet (f36) of the artificial tooth for mandibular secondpremolar (T12), and the balancing facet (f12) of the artificial toothfor maxillary second premolar (T5) contacts the balancing facet (f37) ofthe artificial tooth for mandibular second premolar (T12); wherein thefacets have the following gliding motility when functioning as a workingside in lateral movements, the retrusive facet (f11) of the artificialtooth for maxillary second premolar (T5) glides along the retrusivefacet (f36) of the artificial tooth for mandibular second premolar(T12); and wherein the facets have the following gliding motility whenfunctioning as a balancing side in lateral movements, the balancingfacet (f12) of the artificial tooth for maxillary second premolar (T5)glides along the balancing facet (f37) of the artificial tooth formandibular second premolar (T12).
 3. A set of artificial teethcomprising: an artificial tooth for maxillary first molar (T6) havingtwo facets, a protrusive facet (f13) and a retrusive facet (f14),situated around a mesiobuccal cusp apex (C5), two facets, a protrusivefacet (f15) and a retrusive facet (f16), situated around a distobuccalcusp apex (C6), two facets, a protrusive facet (f18) and a balancingfacet (f17), situated around a mesiolingual cusp apex (C7), and twofacets, a retrusive facet (f19) and a balancing facet (f20), situatedaround a distolingual cusp apex (C8), wherein,of angles formed by theprotrusive facet (f13) near the mesiobuccal cusp apex (C5) with anocclusal plane (P1), the angle in cross section along a sagittal plane(P2) is 18.5° to 21.0°, and the angle in cross section along a coronalplane (P3) is 5.0° to 11.0°, wherein, of angles formed by the retrusivefacet (f14) near the mesiobuccal cusp apex (C5) with the occlusal plane(P1), the angle in cross section along the sagittal plane (P2) is 7.0°to 12.0°, and the angle in cross section along the coronal plane (P3) is9.0° to 13.0°, wherein, of angles formed by the protrusive facet (f15)near the distobuccal cusp apex (C6) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 15.5° to 19.5°,and the angle in cross section along the coronal plane (P3) is 8.0° to9.0°, wherein, of angles formed by the retrusive facet (f16) near thedistobuccal cusp apex (C6) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 18.5° to 23.0°, and theangle in cross section along the coronal plane (P3) is 11.0° to 13.5°,wherein, of angles formed by the balancing facet (f17) near themesiolingual cusp apex (C7) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 14.5° to 16.5°, and theangle in cross section along the coronal plane (P3) is 40.0° to 42.0°,wherein, of angles formed by the protrusive facet (f18) near themesiolingual cusp apex (C7) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 18.5° to 19.5°, and theangle in cross section along the coronal plane (P3) is 4.5° to 6.5°,wherein, of angles formed by the retrusive facet (f19) near thedistolingual cusp apex (C8) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 6.5° to 7.5°, and theangle in cross section along the coronal plane (P3) is 15.5° to 18.0°,and wherein, of angles formed by the balancing facet (f20) near thedistolingual cusp apex (C8) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 3.0° to 12.0°, and theangle in cross section along the coronal plane (P3) is 32.0° to 38.5°;and an artificial tooth for mandibular first molar (T13) having threefacets, a protrusive facet (f39), a retrusive facet (f40) and abalancing facet (f41), situated around a mesiobuccal cusp apex (C14),three facets, a protrusive facet (f42), a retrusive facet (f43) and abalancing facet (f44), situated around a distobuccal cusp apex (C15),two facets, a protrusive facet (f45) and a balancing facet (f46),situated around a distal cusp apex (C16), and one facet, a protrusivefacet (f47), situated around a central fossa (S3), wherein, of anglesformed by the protrusive facet (f39) near the mesiobuccal cusp apex(C14) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 23.5° to 32.0°, and the angle in cross sectionalong the coronal plane (P3) is 7.0° to 15.0°, wherein, of angles formedby the retrusive facet (f40) near the mesiobuccal cusp apex (C14) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 7.5° to 12.0°, and the angle in cross section along thecoronal plane (P3) is 14.0° to 16.0°, wherein, of angles formed by thebalancing facet (f41) near the mesiobuccal cusp apex (C14) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 2.0° to 5.5°, and the angle in cross section along the coronalplane (P3) is 30.0° to 32.0°, wherein, of angles formed by theprotrusive facet (f42) near the distobuccal cusp apex (C15) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 15.5° to 21.0°, and the angle in cross section along the coronalplane (P3) is 8.0° to 11.0°, wherein, of angles formed by the retrusivefacet (f43) near the distobuccal cusp apex (C15) with the occlusal plane(P1), the angle in cross section along the sagittal plane (P2) is 25.0°to 27.0°, and the angle in cross section along the coronal plane (P3) is24.0° to 25.0°, wherein, of angles formed by the balancing facet (f44)near the distobuccal cusp apex (C15) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 12.0° to 20.0°,and the angle in cross section along the coronal plane (P3) is 30.0° to37.0°, wherein, of angles formed by the protrusive facet (f45) near thedistal cusp apex (C16) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 7.5° to 13.0°, and the angle incross section along the coronal plane (P3) is 10.0° to 13.0°, wherein,of angles formed by the balancing facet (f46) near the distal cusp apex(C16) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 2.5° to 4.5°, and the angle in cross sectionalong the coronal plane (P3) is 27.0° to 33.0° and wherein, of anglesformed by the protrusive facet (f47) near the central fossa (S3) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 10.5° to 18.5°, and the angle in cross section along thecoronal plane (P3) is 1.0° to 8.0°; wherein the facets make thefollowing contacts in intercuspation, the protrusive facet (f13) of theartificial tooth for maxillary first molar (T6) contacts the protrusivefacet (f42) of the artificial tooth for mandibular first molar (T13) theretrusive facet (f14) of the artificial tooth for maxillary first molar(T6) contacts the retrusive facet (f40) of the artificial tooth formandibular first molar (T13), the protrusive facet (f15) of theartificial tooth for maxillary first molar (T6) contacts the protrusivefacet (f45) of the artificial tooth for mandibular first molar (T13) theretrusive facet (f16) of the artificial tooth for maxillary first molar(T6) contacts the retrusive facet (f43) of the artificial tooth formandibular first molar (T13), the balancing facet (f17) of theartificial tooth for maxillary first molar (T6) contacts the balancingfacet (f44) of the artificial tooth for mandibular first molar (T13),and the protrusive facet (f18) of the artificial tooth for maxillaryfirst molar (T6) contacts the protrusive facet (f47) of the artificialtooth for mandibular first molar (T13); wherein the facets have thefollowing gliding motility when functioning as a working side in lateralmovements, the retrusive facet (f14) of the artificial tooth formaxillary first molar (T6) glides along the retrusive facet (f40) of theartificial tooth for mandibular first molar (T13), the retrusive facet(f16) of the artificial tooth for maxillary first molar (T6) glidesalong the retrusive facet (f43) of the artificial tooth for mandibularfirst molar (T13), and the protrusive facet (f18) of the artificialtooth for maxillary first molar (T6) glides along the protrusive facet(f47) of the artificial tooth for mandibular first molar (T13); whereinthe facets have the following gliding motility when functioning as abalancing side in lateral movements, the balancing facet (f17) of theartificial tooth for maxillary first molar (T6) glides along thebalancing facet (f44) of the artificial tooth for mandibular first molar(T13); and wherein the facets have the following gliding motility inprotrusive movements, the protrusive facet (f13) of the artificial toothfor maxillary first molar (T6) glides along the protrusive facet (f42)of the artificial tooth for mandibular first molar (T13), the protrusivefacet (f15) of the artificial tootlifor maxillary first molar (T6)glides along the protrusive facet (f45) of the artificial tooth formandibular first molar (T13), and the balancing facet (f18) of theartificial tooth for maxillary first molar (T6) glides along theprotrusive facet (f47) of the artificial tooth for mandibular firstmolar (T13).
 4. A set of artificial teeth comprising: an artificialtooth for maxillary second molar (T7) having two facets, a protrusivefacet (f21) and a retrusive facet (f22), situated around a mesiobuccalcusp apex (C9), one facet, a retrusive facet (f23), situated around adistobuccal cusp apex (C10), and two facets a protrusive facet (f25) anda balancing facet (f24), situated around a mesiolingual cusp apex (C11),wherein, of angles formed by the protrusive facet (f21) near themesiobuccal cusp apex (C9) with an occlusal plane (P1), the angle incross section along a sagittal plane (P2) is 22.5° to 25.5°, and theangle in cross section along a coronal plane (P3) is 1.0° to 2.5°,wherein, of angles formed by the retrusive facet (f22) near themesiobuccal cusp apex (C9) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 9.5° to 17.5°, and theangle in cross section along the coronal plane (P3) is 13.0° to 16.5°,wherein, of angles formed by the retrusive facet (f23) near thedistobuccal cusp apex (C10) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 6.5° to 12.0°, and theangle in cross section along the coronal plane (P3) is 4.5° to 7.0°,wherein, of angles formed by the balancing facet (f24) near themesiolingual cusp apex (C11) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 0.5° to 10.0°, and theangle in cross section along the coronal plane (P3) is 38.5° to 47.0°,and wherein, of angles formed by the protrusive facet (f25) near themesiolingual cusp apex (C11) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 20.5° to 22.5°, and theangle in cross section along the coronal plane (P3) is 1.5° to 6.0°; andan artificial tooth for mandibular second molar (T14) having threefacets, a protrusive facet (f48), a retrusive facet (f49) and abalancing facet (f50), situated around a mesiobuccal cusp apex (C17),three facets, a protrusive facet (f51), a retrusive facet (f52) and abalancing facet (f53), situated around a distobuccal cusp apex (C18),and one facet, a protrusive facet (f54), situated around a central fossa(S4), wherein, of angles formed by the protrusive facet (f48) near themesiobuccal cusp apex (C17) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 26.0° to 30.0°, and theangle in cross section along the coronal plane (P3) is 10.0° to 13.0°,wherein, of angles formed by the retrusive facet (f49) near themesiobuccal cusp apex (C17) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 14.0° to 16.0°, and theangle in cross section along the coronal plane (P3) is 15.0° to 17.5°,wherein, of angles formed by the balancing facet (f50) near themesiobuccal cusp apex (C17) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 2.5° to 3.5°, and theangle in cross section along the coronal plane (P3) is 34.0° to 38.0°,wherein, of angles formed by the protrusive facet (f51) near thedistobuccal cusp apex (C18) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 17.0° to 21.0°, and theangle in cross section along the coronal plane (P3) is 4.5° to 6.5°,wherein, of angles formed by the retrusive facet (f52) near thedistobuccal cusp apex (C18) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 19.0° to 22.0°, and theangle in cross section along the coronal plane (P3) is 13.0° to 14.5°,wherein, of angles formed by the balancing facet (f53) near thedistobuccal cusp apex (C18) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 1.0° to 3.0°, and theangle in cross section along the coronal plane (P3) is 34.0° to 38.0°,and wherein, of angles formed by the protrusive facet (f54) near thecentral fossa (S4) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 15.5° to 23.0°, and the anglein cross section along the coronal plane (P3) is 5.5° to 12.0°; whereinthe facets make the following contacts in intercuspation the protrusivefacet (f21) of the artificial tooth for maxillary second molar (T7)contacts the protrusive facet (f51) of the artificial tooth formandibular second molar (T14), the retrusive facet (f22) of theartificial tooth for maxillary second molar (T7) contacts the retrusivefacet (f49) of the artificial tooth for mandibular second molar (T14),the retrusive facet (f23) of the artificial tooth for maxillary secondmolar (T7) contacts the retrusive facet (f52) of the artificial toothfor mandibular second molar (T14), the balancing facet (f24) of theartificial tooth for maxillary second molar (T7) contacts the balancingfacet (f53) of the artificial tooth for mandibular second molar (T14),and the protrusive facet (f25) of the artificial tooth for maxillarysecond molar (T7) contacts the protrusive facet (f54) of the artificialtooth for mandibular second molar (T14); wherein the facets have thefollowing gliding motility when functioning as a working side in lateralmovements, the retrusive facet (f22) of the artificial tooth formaxillary second molar (T7) glides along the retrusive facet (f49) ofthe artificial tooth for mandibular second molar (T14), the retrusivefacet (f23) of the artificial tooth for maxillary second molar (T7)glides along the retrusive facet (f52) of the artificial tooth formandibular second molar (T14), and the protrusive facet (f25) of theartificial tooth for maxillary second molar (T7) glides along theprotrusive facet (f54) of the artificial tooth for mandibular secondmolar (T14); wherein the facets have the following gliding motility whenfunctioning as a balancing side in lateral movements, the balancingfacet (f24) of the artificial tooth for maxillary second molar (T7)glides along the balancing facet (f53) of the artificial tooth formandibular second molar (T14); and wherein the facets have the followinggliding motility in protrusive movements, the protrusive facet (f21) ofthe artificial tooth for maxillary second molar (T7) glides along theprotrusive facet (f51) of the artificial tooth for mandibular secondmolar (T14), and the protrusive facet (f25) of the artificial tooth formaxillary second molar (T7) glides along the protrusive facet (f54) ofthe artificial tooth for mandibular second molar (T14).
 5. A set ofartificial teeth comprising: an artificial tooth for maxillary firstpremolar (T4) on a working side, and an artificial tooth for maxillaryfirst premolar (T4) on a balancing side, each artificial tooth formaxillary first premolar (T4) having two facets, a protrusive facet (f7)and a retrusive facet (f8), situated around a buccal cusp apex (C1), andone facet, a balancing facet (f9), situated around a lingual cusp apex(C2), wherein, of angles formed by the protrusive facet (f7) near thebuccal cusp apex (C1) with an occlusal plane (P1), the angle in crosssection along a sagittal plane (P2) is 24.5° to 27.5°, and the angle incross section along a coronal plane (P3) is 8.5° to 16.4°, wherein, ofangles formed by the retrusive facet (f8) near the buccal cusp apex (C1)with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 18.5° to 27.0°, and the angle in cross sectionalong the coronal plane is 10.0° to 18.0°, and wherein, of angles formedby the balancing facet (f9) near the lingual cusp apex (C2) with theocclusal plane(P1), the angle in cross section along the sagittal plane(P2) is 1.5° to 4.5°, and the angle in cross section along the coronalplane (P3) is 29.5° to 35.5°; and an artificial tooth for mandibularfirst premolar (T11) on the working side, and an artificial tooth formandibular first premolar (T11) on the balancing side, each artificialtooth for mandibular first premolar (T11) having two facets, aprotrusive facet (f31) and a retrusive facet (f32), situated around abuccal cusp apex (C12), one facet, a balancing facet (f33), situatedalong a distal marginal ridge, and one facet, a protrusive facet (f34),situated around a lingual cusp apex, wherein, of angles formed by theprotrusive facet (f31) near the buccal cusp apex (C12) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is38.0° to 41.0°, and the angle in cross section along the coronal plane(P3) is 5.0° to 8.5°, wherein, of angles formed by the retrusive facet(f32) near the buccal cusp apex (C12) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 7.0° to 17.5°,and the angle in cross section along the coronal plane (P3) is 9.0° to15.5°, wherein, of angles formed by the balancing facet (f33) near thedistal marginal ridge with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 15.0° to 24.0°, and the anglein cross section along the coronal plane (P3) is 29.0° to 32.0°, andwherein, of angles formed by the protrusive facet (f34) near the lingualcusp apex with the occlusal plane (P1), the angle in cross section alongthe sagittal plane (P2) is 3.5° to 10.0°, and the angle in cross sectionalong the coronal plane (P3) is 1.0° to 5.0°; wherein the facets makethe following contacts in intercuspation, the retrusive facets (f8) ofthe artificial teeth for maxillary first premolars (T4) contact theretrusive facets (f32) of the artificial teeth for mandibular firstpremolars (T11), and the balancing facets (f9) of the artificial teethfor maxillary first premolars (T4) contact the balancing facets (f33) ofthe artificial teeth for mandibular first premolars (T11); wherein, thefacets have the following gliding motility in lateral movements, on theworking side, the retrusive facet (f8) of the artificial tooth formaxillary first premolar (T4) glides along the retrusive facet (f32) ofthe artificial tooth for mandibular first premolar (T11), and at thesame time, on the balancing side, the balancing facet (f9) of theartificial tooth for maxillary first premolar (T4) glides along thebalancing facet (f33) of the artificial tooth for mandibular firstpremolar (T11).
 6. A set of artificial teeth comprishig: an artificialtooth for maxillary second premolar (T5) on a working side, and anartificial tooth for maxillary second prerholar (T5) on a balancingside, each artificial tooth for maxillary second premolar (T5) havingtwo facets, a protrusive facet (f10) and a retrusive facet (f11),situated around a buccal cusp apex (C3), and one facet, a balancingfacet (f12), situated around a lingual cusp apex (C4), wherein, ofangles formed by the protrusive facet (f10) near the buccal cusp apex(C3) with an occlusal plane (P1), the angle in cross section along asagittal plane (P2) is 23.0° to 28.0°, and the angle in cross sectionalong a coronal plane (P3) is 10.0° to 19.0°, wherein, of angles formedby the retrusive facet (f11) near the buccal cusp apex (C3) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 16.5° to 19.0°, and the angle in cross section along the coronalplane (P3) is 13.0° to 17.5°, and wherein, of angles formed by thebalancing facet (f12) near the lingual cusp apex (C4) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is6.0° to 10.0°, and the angle in cross section along the coronal plane(P3) is 25.5° to 29.0°; and an artificial tooth for mandibular secondpremolar (T12) on the working side, and an artificial tooth formandibular second premolar (T12) on the balancing side, each artificialtooth for mandibular second premolar (T12) having two facets, aprotrusive facet (f35) and a retrusive facet (f36), situated around abuccal cusp apex (C13), one facet, a balancing facet (f37), situatedalong a distal marginal ridge, and one facet, a protrusive facet (f38),situated around a lingual cusp apex, wherein, of angles formed by theprotrusive facet (f35) near the buccal cusp apex (C13) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is27.5° to 30.0°, and the angle in cross section along the coronal plane(P3) is 16.0° to 19.0°, wherein, of angles formed by the retrusive facet(f36) near the buccal cusp apex (C13) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 13.0° to 15.0°,and the angle in cross section along the coronal plane (P3) is 17.0° to24.0°, wherein, of angles formed by the balancing facet (f37) near thedistal marginal ridge with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 1.5° to 17.0°, and the angle incross section along the coronal plane (P3) is 10.0° to 16.5°, andwherein, of angles formed by the protrusive facet (f38) near the lingualcusp apex with the occlusal plane (P1), the angle in cross section alongthe sagittal plane (P2) is 2.0° to 5.0°, and the angle in cross sectionalong the coronal plane (P3) is 12.0° to 14.5°; wherein the facets makethe following contacts in intercuspation, the retrusive facets (f11) ofthe artificial teeth for maxillary second premolars (T5) contact theretrusive facets (f36) of the artificial teeth for mandibular secondpremolars (T12), and the balancing facets (f12) of the artificial teethfor maxillary second premolars (T5) contact the balancing facets (f37)of the artificial teeth for mandibular second premolars (T12); whereinthe facets have the following gliding motility in lateral movements, onthe working side, the retrusive facet (f11) of the artificial tooth formaxillary second premolar (T5) glides along the retrusive facet (f36) ofthe artificial tooth for mandibular second premolar (T12), and at thesame time, on the balancing side, the balancing facet (f12) of theartificial tooth for maxillary second premolar (T5) glides along thebalancing facet (f37) of the artificial tooth for mandibular secondpremolar (T12).
 7. A set of artificial teeth comprising: an artificialtooth for maxillary first molar (T6) on a working side, and anartificial tooth for maxillary first molar (T6) on a balancing side,each artificial tooth for maxillary first molar (T6) having two facets,a protrusive facet (f13) and a retrusive facet (f14), situated around amesiobuccal cusp apex (C5), two facets, a protrusive facet (f15) and aretrusive facet (f16), situated around a distobuccal cusp apex (C6), twofacets, a protrusive facet (f18) and a balancing facet (f17), situatedaround a mesiolingual cusp apex (C7), and two facets, a retrusive facet(f19) and a balancing facet (f20), situated around a distolingual cuspapex (C8), wherein, of angles formed by the protrusive facet (f13) nearthe mesiobuccal cusp apex (C5) with an occlusal plane (P1), the angle incross section along a sagittal plane (P2) is 18.5° to 21.0°, and theangle in cross section along a coronal plane (P3) is 5.0° to 11.0°,wherein, of angles formed by the retrusive facet (f14) near themesiobuccal cusp apex (C5) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 7.0° to 12.0°, and theangle in cross section along the coronal plane (P3) is 9.0° to 13.0°,wherein, of angles formed by the protrusive facet (f15) near thedistobuccal cusp apex (C6) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 15.5° to 19.5°, and theangle in cross section along the coronal plane (P3) is 8.0° to 9.0°,wherein, of angles formed by the retrusive facet (f16) near thedistobuccal cusp apex (C6) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 18.5° to 23.0°, and theangle in cross section along the coronal plane (P3) is 11.0° to 13.5°,wherein, of angles formed by the balancing facet (f17) near themesiolingual cusp apex (C7) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 14.5° to 16.5°, and theangle in cross section along the coronal plane (P3) is 40.0° to 42.0°,wherein, of angles formed by the protrusive facet (f18) near themesiolingual cusp apex (C7) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 18.5° to 19.5°, and theangle in cross section along the coronal plane (P3) is 4.5° to 6.5°,wherein, of angles formed by the retrusive facet (f19) near thedistolingual cusp apex (C8) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 6.5° to 7.5°, and theangle in cross section along the coronal plane (P3) is 15.5° to 18.0°,and wherein, of angles formed by the balancing facet (f20) near thedistolingual cusp apex (C8) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 3.0° to 12.0°, and theangle in cross section along the coronal plane (P3) is 32.0° to 38.5°;and an artificial tooth for mandibular first molar (T13) on the workingside, and an artificial tooth for mandibular first molar (T13) on thebalancing side, each artificial tooth for mandibular first molar (T13)having three facets, a protrusive facet (f39), a retrusive facet (f40)and a balancing facet (f41), situated around a mesiobuccal cusp apex(C14), three facets, a protrusive facet (f42), a retrusive facet (f43)and a balancing facet (f44), situated around a distobuccal cusp apex(C15), two facets, a protrusive facet (f45) and a balancing facet (f46),situated around a distal cusp apex (C16), and one facet, a protrusivefacet (f47), situated around a central fossa (S3), wherein, of anglesformed by the protrusive facet (f39) near the mesiobuccal cusp apex(C14) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 23.5° to 32.0°, and the angle in cross sectionalong the coronal plane (P3) is 7.0° to 15.0°, wherein, of angles formedby the retrusive facet (f40) near the mesiobuccal cusp apex (C14) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 7.5° to 12.0°, and the angle in cross section along thecoronal plane (P3) is 14.0° to 16.0°, wherein, of angles formed by thebalancing facet (f41) near the mesiobuccal cusp apex (C14) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 2.0° to 5.5°, and the angle in cross section along the coronalplane (P3) is 30.0° to 32.0°, wherein, of angles formed by theprotrusive facet (f42) near the distobuccal cusp apex (C15) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 15.5° to 21.0°, and the angle in cross section along the coronalplane (P3) is 8.0°to 11.0°, wherein, of angles formed by the retrusivefacet (f43) near the distobuccal cusp apex (C15) with the occlusal plane(P1), the angle in cross section along the sagittal plane (P2) is 25.0°to 27.0°, and the angle in cross section along the coronal plane (P3) is24.0° to 25.0°, wherein, of angles formed by the balancing facet (f44)near the distobuccal cusp apex (C15) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 12.0° to 20.0°,and the angle in cross section along the coronal plane (P3) is 30.0° to37.0°, wherein, of angles formed by the protrusive facet (f45) near thedistal cusp apex (C16) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 7.5° to 13.0°, and the angle incross section along the coronal plane (P3) is 10.0° to 13.0°, wherein,of angles formed by the balancing facet (f46) near the distal cusp apex(C16) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 2.5° to 4.5°, and the angle in cross sectionalong the coronal plane (P3) is 27.0° to 33.0°, and wherein, of anglesformed by the protrusive facet (f47) near the central fossa (S3) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 10.5° to 18.5°, and the angle in cross section along thecoronal plane (P3) is 1.0° to 8.0°; wherein the facets make thefollowing contacts in intercuspation, the protrusive facets (f13) of theartificial teeth for maxillary first molars (T6) contact the protrusivefacets (f42) of the artificial teeth for mandibular first molars (T13),the retrusive facets (f14) of the artificial teeth for maxillary firstmolars (T6) contact the retrusive facets (f40) of the artificial teethfor mandibular first molars (T13), the protrusive facets (f15) of theartificial teeth for maxillary first molars (T6) contact the protrusivefacets (f45) of the artificial teeth for mandibular first molars (T13),the retrusive facets (f16) of the artificial teeth for maxillary firstmolars (T6) contact the retrusive facets (f43) of the artificial teethfor mandibular first molars (T13), the balancing facets (f17) of theartificial teeth for maxillary first molars (T6) contact the balancingfacets (f44) of the artificial teeth for mandibular first molars (T13),and the protrusive facets (f18) of the artificial teeth for maxillaryfirst molars (T6) contact the protrusive facets (f47) of the artificialteeth for mandibular first molars (T13); wherein the facets have thefollowing gliding motility in lateral movements, on the working side,the retrusive facet (f14) of the artificial tooth for maxillary firstmolar (T6) glides along the retrusive facet (f40) of the artificialtooth for mandibular first molar (T13), the retrusive facet (f16) of theartificial tooth for maxillary first molar (T6) glides along theretrusive facet (f43) of the artificial tooth for mandibular first molar(T13), and the protrusive facet (f18) of the artificial tooth formaxillary first molar (T6) glides along the protrusive facet (f47) ofthe artificial tooth for mandibular first molar (T13), and at the sametime, on the balancing side, the balancing facet (f17) of the artificialtooth for maxillary first molar (T6) glides along the balancing facet(f44) of the artificial tooth for mandibular first molar (T13); andwherein the facets have the following gliding motility in protrusivemovements, the protrusive facets (f13) of the artificial teeth formaxillary first molars (T6) glide along the protrusive facets (f42) ofthe artificial teeth for mandibular first molars (T13), the protrusivefacets (f15) of the artificial teeth for maxillary first molars (T6)glide along the protrusive facets (f45) of the artificial teeth formandibular first molars (T13), and the balancing facets (f18) of theartificial teeth for maxillary first molars (T6) glide along theprotrusive facets (f47) of the artificial teeth for mandibular firstmolars (T13).
 8. A set of artificial teeth comprising: an artificialtooth for maxillary second molar (T7) on a working side, and anartificial tooth for maxillary second molar (T7) on a balancing side,each artificial tooth for maxillary second molar (T7) having two facets,a protrusive facet (f21) and a retrusive facet (f22), situated around amesiobuccal cusp apex (C9), one facet, a retrusive facet (f23), situatedaround a distobuccal cusp apex (C10), and two facets, a protrusive facet(f25) and a balancing facet (f24), situated around a mesiolingual cuspapex (C11), wherein, of angles formed by the protrusive facet (f21) nearthe mesiobuccal cusp apex (C9) with an occlusal plane (P1), the angle incross section along a sagittal plane (P2) is 22.5° to 25.5°, and theangle in cross section along a coronal plane (P3) is 1.0° to 2.5°,wherein, of angles formed by the retrusive facet (f22) near themesiobuccal cusp apex (C9) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 9.5° to 17.5°, and theangle in cross section along the coronal plane (P3) is 13.0° to 16.5°,wherein, of angles formed by the retrusive facet (f23) near thedistobuccal cusp apex (C10) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 6.5° to 12.0°, and theangle in cross section along the coronal plane (P3) is 4.5° to 7.0°,wherein, of angles formed by the balancing facet (f24) near themesiolingual cusp apex (C11) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 0.5° to 10.0°, and theangle in cross section along the coronal plane (P3) is 38.5° to 47.0°,and wherein, of angles formed by the protrusive facet (f25) near themesiolingual cusp apex (C11) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 20.5° to 22.5°, and theangle in cross section along the coronal plane (P3) is 1.5° to 6.0°; andan artificial tooth for mandibular second molar (T14) on the workingside, and an artificial tooth for mandibular second molar (T14) on thebalancing side, each artificial tooth for mandibular second molar (T14)having three facets, a protrusive facet (f48), a retrusive facet (f49)and a balancing facet (f50), situated around a mesiobuccal cusp apex(C17), three facets, a protrusive facet (f51), a retrusive facet (f52)and a balancing facet (f53), situated around a distobuccal cusp apex(C18), and one facet, a protrusive facet (f54), situated around acentral fossa (S4), wherein, of angles formed by the protrusive facet(f48) near the mesiobuccal cusp apex (C17) with the occlusal plane (P1),the angle in cross section along the sagittal plane. (P2) is 26.0° to30.0°, and the angle in cross section along the coronal plane (P3) is10.0° to 13.0°, wherein, of angles formed by the retrusive facet (f49)near the mesiobuccal cusp apex (C17) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 14.0° to 16.0°,and the angle in cross section along the coronal plane (P3) is 15.0° to17.5°, wherein, of angles formed by the balancing facet (f50) near themesiobuccal cusp apex (C17) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 2.5° to 3.5°, and theangle in cross section along the coronal plane (P3) is 34.0° to 38.0°,wherein, of angles formed by the protrusive facet (f51) near thedistobuccal cusp apex (C18) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 17.0° to 21.0°, and theangle in cross section along the coronal plane (P3) is 4.5° to 6.5°,wherein, of angles formed by the retrusive facet (f52) near thedistobuccal cusp apex (C18) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 19.0° to 22.0°, and theangle in cross section along the coronal plane (P3) is 13.0° to 14.5°,wherein, of angles formed by the balancing facet (f53) near thedistobuccal cusp apex (C18) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 1.0° to 3.0°, and theangle in cross section along the coronal plane (P3) is 34.0° to 38.0,and wherein, of angles formed by the protrusive facet (f54) near thecentral fossa (S4) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 15.5° to 23.0°, and the anglein cross section along the coronal plane (P3) is 5.5° to 12.0°; whereinthe facets make the following contacts in intercuspation, the protrusivefacets (f21) of the artificial teeth for maxillary second molars (T7)contact the protrusive facets (f51) of the artificial teeth formandibular second molars (T14), the retrusive facets (f22) of theartificial teeth for maxillary second molars (T7) contact the retrusivefacets (f49) of the artificial teeth for mandibular second molars (T14),the retrusive facets (f23) of the artificial teeth for maxillary secondmolars (T7) contact the retrusive facets (f52) of the artificial teethfor mandibular second molars (T14), the balancing facets (f24) of theartificial teeth for maxillary second molars (T7) contact the balancingfacets (f53) of the artificial teeth for mandibular second molars (T14),and the protrusive facets (f25) of the artificial teeth for maxillarysecond molars (T7) contact the protrusive facets (f54) of the artificialteeth for mandibular second molars (T14); wherein the facets have thefollowing gliding motility in lateral movements, on the working side,the retrusive facet (f22) of the artificial tooth for maxillary secondmolar (T7) glides along the retrusive facet (f49) of the artificialtooth for mandibular second molar (T14), the retrusive facet (f23) ofthe artificial tooth for maxillary second molar (T7) glides along theretrusive facet (f52) of the artificial tooth for mandibular secondmolar (T14), and the protrusive facet (f25) of the artificial tooth formaxillary second molar (T7) glides along the protrusive facet (f54) ofthe artificial tooth for mandibular second molar (T14), and at the sametime, on the balancing side, the balancing facet (f24) of the artificialtooth for maxillary second molar (T7) glides along the balancing facet(f53) of the artificial tooth for mandibular second molar (T14); andwherein the facets have the following gliding motility in protrusivemovements, the protrusive facets (f21) of the artificial teeth formaxillary second molars (T7) glide along the protrusive facets (f51) ofthe artificial teeth for mandibular second molars (T14), and theprotrusive facets (f25) of the artificial teeth for maxillary secondmolars (T7) glide along the protrusive facets (f54) of the artificialteeth for mandibular second molars (T14).
 9. A set of artificial teethcomprising: an artificial tooth for maxillary central incisor (T1) on aworking side, and an artificial tooth for maxillary central incisor (T1)on a balancing side, each artificial tooth for maxillary central incisor(T1) having two facets, a protrusive facet (f1) and a retrusive facet(f2), situated on an incisal edge (i1), wherein, of angles formed by theprotrusive facet (f1) with an occlusal plane (P1), the angle in crosssection along a sagittal plane (P2) is 22.0° to 25.5°, and the angle incross section along a coronal plane (P3) is 1.5° to 6.5°, and wherein,of angles formed by the retrusive facet (f2) with the occlusal, plane(P1), the angle in cross section along the sagittal plane (P2) is 20.5°to 23.0°, and the angle in cross section along the coronal plane (P3) is1.5° to 6.5°; an artificial tooth for maxillary lateral incisor (T2) onthe working side, and an artificial tooth for maxillary incisor (T2) onthe balancing side, each artificial tooth for maxillary incisor (T2)having two facets, a protrusive facet (f3) and a retrusive facet (f4),situated on an incisal edge (i2), wherein, of angles formed by theprotrusive facet (f3) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 23.0° to 28.0°, and the anglein cross section along the coronal plane (P3) is 15.0° to 17.0°, andwherein, of angles formed by the retrusive facet (f4) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is16.0° to 22.0°, and the angle in cross section along the coronal plane(P3) is 9.5° to 10.5°; an artificial tooth for maxillary canine (T3) onthe working side, and an artificial tooth for maxillary canine (T3) onthe balancing side, each artificial tooth for maxillary canine (T3)having two facets, a protrusive facet (f5) and a retrusive facet (f6),situated on an incisal edge (i3), wherein, of angles formed by theprotrusive facet (f5) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 25.0° to 31.0°, and the anglein cross section along the coronal plane (P3) is 1.5° to 5.0°, andwherein, of angles formed by the retrusive facet (f6) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is8.5° to 22.5°, and the angle in cross section along the coronal plane(P3) is 18.0° to 25.0; an artificial tooth for maxillary first premolar(T4) on the working side, and an artificial tooth for maxillary firstpremolar (T4) on the balancing side, each artificial tooth for maxillaryfirst premolar (T4) having two facets, a protrusive facet (f7) and aretrusive facet (f8), situated around a buccal cusp apex (C1), and onefacet, a balancing facet (f9), situated around a lingual cusp apex (C2),wherein, of angles formed by the protrusive facet (f7) near the buccalcusp apex (C1) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 24.5° to 27.5°, and the angle in crosssection along the coronal plane (P3) is 8.5° to 16.4°, wherein, ofangles formed by the retrusive facet (f8) near the buccal cusp apex (C1)with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 18.5° to 27.0°, and the angle in cross sectionalong the coronal plane is 10.0° to 18.0°, and wherein, of angles formedby the balancing facet (f9) near the lingual cusp apex (C2) with theocclusal plane(P1), the angle in cross section along the sagittal plane(P2) is 1.5° to 4.5°, and the angle in cross section along the coronalplane (P3) is 29.5° to 35.5°; an artificial tooth for maxillary secondpremolar (T5) on a working side, and an artificial tooth for maxillarysecond premolar (T5) on a balancing side, each artificial tooth formaxillary second premolar (T5) having two facets, a protrusive facet(f10) and a retrusive facet (f11), situated around a buccal cusp apex(C3), and one facet, a balancing facet (f12), situated around a lingualcusp apex (C4), wherein, of angles formed by the protrusive facet (f10)near the buccal cusp apex (C3) with the occlusal plane (P1), the anglein cross section along the sagittal plane (P2) is 23.0° to 28.0°, andthe angle in cross section along the coronal plane (P3) is 10.0° to19.0°, wherein, of angles formed by the retrusive facet (f11) near thebuccal cusp apex (C3) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 16.5° to 19.0°, and the anglein cross section along the coronal plane (P3) is 13.0° to 17.5°, andwherein, of angles formed by the balancing facet (f12) near the lingualcusp apex (C4) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 6.0° to 10.0°, and the angle in crosssection along the coronal plane (P3) is 25.5° to 29.0°; an artificialtooth for maxillary first molar (T6) on a working side, and anartificial tooth for maxillary first molar (T6) on a balancing side,each artificial tooth for maxillary first molar (T6) having two facets,a protrusive facet (f13) and a retrusive facet (f14), situated around amesiobuccal cusp apex (C5), two facets, a protrusive facet (f15) and aretrusive facet (f16), situated around a distobuccal cusp apex (C6) twofacets, a protrusive facet (f18) and a balancing facet (f17), situatedaround a mesiolingual cusp apex (C7), and two facets, a retrusive facet(f19) and a balancing facet (f20), situated around a distolingual cuspapex (C8), wherein, of angles formed by the protrusive facet (f13) nearthe mesiobuccal cusp apex (C5) with the occlusal plane (P1), the anglein cross section along the sagittal plane (P2) is 18.5° to 21.0°, andthe angle in cross section along the coronal plane (P3) is 5.0° to11.0°, wherein, of angles formed by the retrusive facet (f14) near themesiobuccal cusp apex (C5) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 7.0° to 12.0°, and theangle in cross section along the coronal plane (P3) is 9.0° to 13.0°,wherein, of angles formed by the protrusive facet (f15) near thedistobuccal cusp apex (C6) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 15.5° to 19.5°, and theangle in cross section along the coronal plane (P3) is 8.0° to 9.0°,wherein, of angles formed by the retrusive facet (f16) near thedistobuccal cusp apex (C6) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 18.5° to 23.0°, and theangle in cross section along the coronal plane (P3) is 11.0° to 13.5°,wherein, of angles formed by the balancing facet (f17) near themesiolingual cusp apex (C7) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 14.5° to 16.5°, and theangle in cross section along the coronal plane (P3) is 40.0° to 42.0°,wherein, of angles formed by the protrusive facet (f18) near themesiolingual cusp apex (C7) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 18.5° to 19.5°, and theangle in cross section along the coronal plane (P3) is 4.5° to 6.5°,wherein, of angles formed by the retrusive facet (f19) near thedistolingual cusp apex (C8) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 6.5° to 7.5°, and theangle in cross section along the coronal plane (P3) is 15.5° to 18.0°,and wherein, of angles formed by the balancing facet (f20) near thedistolingual cusp apex (C8) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 3.0° to 12.0°, and theangle in cross section along the coronal plane (P3) is 32.0° to 38.5°;an artificial tooth for maxillary second molar (T7) on a working side,and an artificial tooth for maxillary second molar (T7) on a balancingside, each artificial tooth for maxillary second molar (T7) having twofacets, a protrusive facet (f21) and a retrusive facet (f22), situatedaround a mesiobuccal cusp apex (C9), one facet, a retrusive facet (f23),situated around a distobuccal cusp apex (C10), and two facets, aprotrusive facet (f25) and a balancing facet (f24), situated around amesiolingual cusp apex (C11), wherein, of angles formed by theprotrusive facet (f21) near the mesiobuccal cusp apex (C9) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 22.5° to 25.5°, and the angle in cross section along the coronalplane (P3) is 1.0° to 2.5°, wherein, of angles formed by the retrusivefacet (f22) near the mesiobuccal cusp apex (C9) with the occlusal plane(P1), the angle in cross section along the sagittal plane (P2) is 9.5°to 17.5°, and the angle in cross section along the coronal plane (P3) is13.0° to 16.5°, wherein, of angles formed by the retrusive facet (f23)near the distobuccal cusp apex (C10) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 6.5° to 12.0°,and the angle in cross section along the coronal plane (P3) is 4.5° to7.0°, wherein, of angles formed by the balancing facet (f24) near themesiolingual cusp apex (C11) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 0.5° to 10.0°, and theangle in cross section along the coronal plane (P3) is 38.5° to 47.0°,and wherein, of angles formed by the protrusive facet (f25) near themesiolingual cusp apex (C11) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 20.5° to 22.5°, and theangle in cross section along the coronal plane (P3) is 1.5° to 6.0°; anartificial tooth for mandibular central incisor (T8) on the workingside, and an artificial tooth for mandibular central incisor (T8) on thebalancing side, each artificial tooth for mandibular central incisor(T8) having one facet, a protrusive facet (f26), situated on an incisaledge (i4), wherein, of angles formed by the protrusive facet (f26) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 27.0° to 35.0°, and the angle in cross section along thecoronal plane (P3) is 3.5° to 12.5°; an artificial tooth for mandibularlateral incisor (T9) for the working side, and an artificial tooth formandibular lateral incisor (T9) for the balancing side, each artificialtooth for mandibular lateral incisor (T9) having two facets, aprotrusive facet (f27) and a retrusive facet (f28), situated on anincisal edge (i5), wherein, of angles formed by the protrusive facet(f27) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 31.0° to 35.0°, and the angle in cross sectionalong the coronal plane (P3) is 0.0° to 1.5°, and wherein, of anglesformed by the retrusive facet (f28) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 22.0° to 35.0°,and the angle in cross section along the coronal plane (P3) is 17.5° to26.5°; an artificial tooth for mandibular canine (T10) for the workingside, and an artificial tooth for mandibular canine (T10) for thebalancing side, each artificial tooth for mandibular canine (T10) havingtwo facets, a protrusive facet (f29) and a retrusive facet (f30),situated on an incisal edge (i6), wherein, of angles formed by theprotrusive facet (f29) with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 23.0° to 28.0, and the angle incross section along the coronal plane (P3) is 0.5° to 10.0°, andwherein, of angles formed by the retrusive facet (f30) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is14.5° to 18.0°, and the angle in cross section along the coronal plane(P3) is 16.0° to 21.0°; an artificial tooth for mandibular firstpremolar (T11) on the working side, and an artificial tooth formandibular first premolar (T11) on the balancing side, each artificialtooth for mandibular first premolar (T11) having two facets, aprotrusive facet (f31) and a retrusive facet (f32), situated around abuccal cusp apex (C12), one facet, a balancing facet (f33), situatedalong a distal marginal ridge, and one facet, a protrusive facet (f34),situated around a lingual cusp apex, wherein, of angles formed by theprotrusive facet (f31) near the buccal cusp apex (C12) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is38.0° to 41.0°, and the angle in cross section along the coronal plane(P3) is 5.0° to 8.5°, wherein, of angles formed by the retrusive facet(f32) near the buccal cusp apex (C12) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 7.0° to 17.5°,and the angle in cross section along the coronal plane (P3) is 9.0° to15.5°, wherein, of angles formed by the balancing facet (f33) near thedistal marginal ridge with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 15.0° to 24.0°, and the anglein cross section along the coronal plane (P3) is 29.0° to 32.0°, andwherein, of angles formed by the protrusive facet (f34) near the lingualcusp apex with the occlusal plane (P1), the angle in cross section alongthe sagittal plane (P2) is 3.5° to 10.0°, and the angle in cross sectionalong the coronal plane (P3) is 1.0° to 5.0°; an artificial tooth formandibular second premolar (T12) on the working side, and an artificialtooth for mandibular second premolar (T12) on the balancing side, eachartificial tooth for mandibular second premolar (T12) having two facets,a protrusive facet (f35) and a retrusive facet (f36), situated around abuccal cusp apex (C13), one facet, a balancing facet (f37), situatedalong a distal marginal ridge, and one facet, a protrusive facet (f38),situated around a lingual cusp apex, wherein, of angles formed by theprotrusive facet (f35) near the buccal cusp apex (C13) with the occlusalplane (P1), the angle in cross section along the sagittal plane (P2) is27.5° to 30.0°, and the angle in cross section along the coronal plane(P3) is 16.0° to 19.0°, wherein, of angles formed by the retrusive facet(f36) near the buccal cusp apex (C13) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 13.0° to 15.0°,and the angle in cross section along the coronal plane (P3) is 17.0° to24.0°, wherein, of angles formed by the balancing facet (f37) near thedistal marginal ridge with the occlusal plane (P1), the angle in crosssection along the sagittal plane (P2) is 1.5° to 17.0°, and the angle incross section along the coronal plane (P3) is 10.0° to 16.5°, andwherein, of angles formed by the protrusive facet (f38) near the lingualcusp apex with the occlusal plane (P1), the angle in cross section alongthe sagittal plane (P2) is 2.0° to 5.0°, and the angle in cross sectionalong the coronal plane (P3) is 12.0° to 14.5°; an artificial tooth formandibular first molar (T13) on the working side, and an artificialtooth for mandibular first molar (T13) on the balancing side, eachartificial tooth for mandibular first molar (T13) having three facets, aprotrusive facet (f39), a retrusive facet (f40) and a balancing facet(f41), situated around a mesiobuccal cusp apex (C14), three facets, aprotrusive facet (f42), a retrusive facet (f43) and a balancing facet(f44), situated around a distobuccal cusp apex (C15), two facets, aprotrusive facet (f45) and a balancing facet (f46), situated around adistal cusp apex (C16), and one facet, a protrusive facet (f47),situated around a central fossa (S3), wherein, of angles formed by theprotrusive facet (f39) near the mesiobuccal cusp apex (C14) with theocclusal plane (P1), the angle in cross section along the sagittal plane(P2) is 23.5° to 32.0°, and the angle in cross section along the coronalplane (P3) is 7.0° to 15.0°, wherein, of angles formed by the retrusivefacet (f40) near the mesiobuccal cusp apex (C14) with the occlusal plane(P1), the angle in cross section along the sagittal plane (P2) is 7.5°to 12.0°, and the angle in cross section along the coronal plane (P3) is14.0° to 16.0°, wherein, of angles formed by the balancing facet (f41)near the mesiobuccal cusp apex (C14) with the occlusal plane (P1), theangle in cross section along the sagittal plane (P2) is 2.0° to 5.5°,and the angle in cross section along the coronal plane (P3) is 30.0° to32.0°, wherein, of angles formed by the protrusive facet (f42) near thedistobuccal cusp apex (C15) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 15.5° to 21.0°, and theangle in cross section along the coronal plane (P3) is 8.0° to 11.0°,wherein, of angles formed by the retrusive facet (f43) near thedistobuccal cusp apex (C15) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 25.0° to 27.0°, and theangle in cross section along the coronal plane (P3) is 24.0° to 25.0°,wherein, of angles formed by the balancing facet (f44) near thedistobuccal cusp apex (C15) with the occlusal plane (P1), the angle incross section along the sagittal plane (P2) is 12.0° to 20.0°, and theangle in cross section along the coronal plane (P3) is 30.0° to 37.0°,wherein, of angles formed by the protrusive facet (f45) near the distalcusp apex (C16) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 7.5° to 13.0°, and the angle in crosssection along the coronal plane (P3) is 10.0° to 13.0°, wherein, ofangles formed by the balancing facet (f46) near the distal cusp apex(C16) with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 2.5° to 4.5°, and the angle in cross sectionalong the coronal plane (P3) is 27.0° to 33.0°, and wherein, of anglesformed by the protrusive facet (f47) near the central fossa (S3) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 10.5° to 18.5°, and the angle in cross section along thecoronal plane (P3) is 1.0° to 8.0°; and an artificial tooth formandibular second molar (T14) on the working side, and an artificialtooth for mandibular second molar (T14) on the balancing side, eachartificial tooth for mandibular second molar (T14) having three facets,a protrusive facet (f48), a retrusive facet (f49) and a balancing facet(f50), situated around a mesiobuccal cusp apex (C17), three facets, aprotrusive facet (f51), a retrusive facet (f52) and a balancing facet(f53), situated around a distobuccal cusp apex (C18), and one facet, aprotrusive facet (f54), situated around a central fossa (S4), wherein,of angles formed by the protrusive facet (f48) near the mesiobuccal cuspapex (C17) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 26.0° to 30.0°, and the angle in crosssection along the coronal plane (P3) is 10.0° to 13.0°, wherein, ofangles formed by the retrusive facet (f49) near the mesiobuccal cuspapex (C17) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 14.0° to 16.0°, and the angle in crosssection along the coronal plane (P3) is 15.0° to 17.5°, wherein, ofangles formed by the balancing facet (f50) near the mesiobuccal cuspapex (C17) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 2.5° to 3.5°, and the angle in crosssection along the coronal plane (P3) is 34.0° to 38.0°, wherein, ofangles formed by the protrusive facet (f51) near the distobuccal cuspapex (C18) with the occlusal plane (P1), the angle in cross sectionalong the sagittal plane (P2) is 17.0° to 21.0°, and the angle in crosssection along the coronal plane (P3) is 4.5° to 6.5°, wherein, of anglesformed by the retrusive facet (f52) near the distobuccal cusp apex (C18)with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 19.0° to 22.0°, and the angle in cross sectionalong the coronal plane (P3) is 13.0° to 14.5°, wherein, of anglesformed by the balancing facet (f53) near the distobuccal cusp apex (C18)with the occlusal plane (P1), the angle in cross section along thesagittal plane (P2) is 1.0° to 3.0°, and the angle in cross sectionalong the coronal plane (P3) is 34.0° to 38.0°, and wherein, of anglesformed by the protrusive facet (f54) near the central fossa (S4) withthe occlusal plane (P1), the angle in cross section along the sagittalplane (P2) is 15.5° to 23.0°, and the angle in cross section along thecoronal plane (P3) is 5.5° to 12.0°; wherein the facets make thefollowing contacts in intercuspation, the protrusive facets (f1) of theartificial teeth for maxillary central incisors (T1) contact theprotrusive facets (f27) of the artificial teeth for mandibular lateralincisors (T9), the retrusive facets (f2) of the artificial teeth formaxillary central incisors (T1) contact the protrusive facets (f26) ofthe artificial teeth for mandibular central incisors (T8), theprotrusive facets (f3) of the artificial teeth for maxillary lateralincisors (T2) contact the protrusive facets (f29) of the artificialteeth for mandibular canines (T10), the retrusive facets (f4) of theartificial teeth for maxillary lateral incisors (T2) contact theretrusive facets (f28) of the artificial teeth for mandibular lateralincisors (T9), the protrusive facets (f5) of the artificial teeth formaxillary canines (T3) contact the protrusive facets (f31) of theartificial teeth for mandibular first premolars (T11), the retrusivefacets (f6) of the artificial teeth for maxillary canines (T3) contactthe retrusive facets (f30) of the artificial teeth for mandibularcanines (T10), the protrusive facets (f7) of the artificial teeth formaxillary first premolars (T4) contact the protrusive facets (f35) ofthe artificial teeth for mandibular second premolars (T12), theretrusive facets (f8) of the artificial teeth for maxillary firstpremolars (T4) contact a retrusive facets (f32) of the artificial teethfor mandibular first premolars (T11), the balancing facets (f9) of theartificial teeth for maxillary first premolars (T4) contact thebalancing facets (f33) of the artificial teeth for mandibular firstpremolars (T11), the protrusive facets (f10) of the artificial teeth formaxillary second premolars (T5) contact the protrusive facets (f39) ofthe artificial teeth for mandibular first molars (T13), the retrusivefacets (f11) of the artificial teeth for maxillary second premolars (T5)contact the retrusive facets (f36) of the artificial teeth formandibular second premolars (T12), the balancing facets (f12) of theartificial teeth for maxillary second premolars (T5) contact thebalancing facets (f37) of the artificial teeth for mandibular secondpremolars (T12), the protrusive facets (f13) of the artificial teeth formaxillary first molars (T6) contact the protrusive facets (f42) of theartificial teeth for mandibular first molars (T13), the retrusive facets(f14) of the artificial teeth for maxillary first molars (T6) contactthe retrusive facets (f40) of the artificial teeth for mandibular firstmolars (T13), the protrusive facets (f15) of the artificial teeth formaxillary first molars (T6) contact the protrusive facets (f45) of theartificial teeth for mandibular first molars (T13), the retrusive facets(f16) of the artificial teeth for maxillary first molars (T6) contactthe retrusive facets (f43) of the artificial teeth for mandibular firstmolars (T13), the balancing facets (f17) of the artificial teeth formaxillary first molars (T6) contact the balancing facets (f44) of theartificial teeth for mandibular first molars (T13), the protrusivefacets (f18) of the artificial teeth for maxillary first molars (T6)contact the protrusive facets (f47) of the artificial teeth formandibular first molars (T13), the protrusive facets (f21) of theartificial teeth for maxillary second molars (T7) contact the protrusivefacets (f51) of the artificial teeth for mandibular second molars (T14),the retrusive facets (f22) of the artificial teeth for maxillary secondmolars (T7) contact the retrusive facets. (f49) of the artificial teethfor mandibular second molars (T14), the retrusive facets (f23) of theartificial teeth for maxillary second molars (T7) contact the retrusivefacets (f52) of the artificial teeth for mandibular second molars (T14),the balancing facets (f24) of the artificial teeth for maxillary secondmolars (T7) contact the balancing facets (f53) of the artificial teethfor mandibular second molars (T14), and the protrusive facets (f25) ofthe artificial teeth for maxillary second molars (T7) contact theprotrusive facets (f54) of the artificial teeth for mandibular secondmolars (T14); wherein the facets have the following gliding motility inlateral movements, on the working side, the retrusive facet (f4) of theartificial tooth for maxillary lateral incisor (T2) glides along theretrusive facet (f28) of the artificial tooth for mandibular lateralincisor (T9), the retrusive facet (f6) of the artificial tooth formaxillary canine (T3) glides along the retrusive facet (f30) of theartificial tooth for mandibular canine (T10), the retrusive facet (f8)of the artificial tooth for maxillary first premolar (T4) glides alongthe retrusive facet (f32) of the artificial tooth for mandibular firstpremolar (T11), the retrusive facet (f11) of the artificial tooth formaxillary second premolar (T5) glides along the retrusive facet (f36) ofthe artificial tooth for mandibular second premolar (T12), the retrusivefacet (f14) of the artificial tooth for maxillary first molar (T6)glides along the retrusive facet (f40) of the artificial tooth formandibular first molar (T13), the retrusive facet (f16) of theartificial tooth for maxillary first molar (T6) glides along theretrusive facet (f43) of the artificial tooth for mandibular first molar(T13), the protrusive facet (f18) of the artificial tooth for maxillaryfirst molar (T6) glides along the protrusive facet (f47) of theartificial tooth for mandibular first molar (T13), the retrusive facet(f22) of the artificial tooth for maxillary second molar (T7) glidesalong the retrusive facet (f49) of the artificial tooth for mandibularsecond molar (T14), the retrusive facet (f23) of the artificial toothfor maxillary second molar (T7) glides along the retrusive facet (f52)of the artificial tooth for mandibular second molar (T14), and theprotrusive facet (f25) of the artificial tooth for maxillary secondmolar (T7) glides along the protrusive facet (f54) of the artificialtooth for mandibular second molar (T14), and at the same time, on thebalancing side, the balancing facet (f9) of the artificial tooth formaxillary first premolar (T4) glides along the balancing facet (f33) ofthe artificial tooth for mandibular first premolar (T11), the balancingfacet (f12) of the artificial tooth for maxillary second premolar (T5)glides along the balancing facet (f37) of the artificial tooth formandibular second premolar (T12) and the balancing facet (f41) of theartificial tooth for mandibular first molar (T13), the balancing facet(f17) of the artificial tooth for maxillary first molar (T6) glidesalong the balancing facet (f44) of the artificial tooth for mandibularfirst molar (T13), the balancing facet (f20) of the artificial tooth formaxillary first molar (T6) glides along the balancing facet (f50) of theartificial tooth for mandibular second molar (T14), and the balancingfacet (f24) of the artificial tooth for maxillary second molar (T7)glides along the balancing facet (f53) of the artificial tooth formandibular second molar (T14); and wherein the facets have the followinggliding motility in protrusive movements, the protrusive facets (f1) ofthe artificial teeth for maxillary central incisors (T1) glide along theprotrusive facets (f27) of the artificial teeth for mandibular lateralincisors (T9), the retrusive facets (f2) of the artificial teeth formaxillary central incisors (T1) glide along the protrusive facets (f26)of the artificial teeth for mandibular central incisors (T8), theprotrusive facets (f3) of the artificial teeth for maxillary lateralincisors (T2) glide along the protrusive facets (f29) of the artificialteeth for mandibular canines (T10), the protrusive facets (f5) of theartificial teeth for maxillary canines (T3) glide along the protrusivefacets (f31) of the artificial teeth for mandibular first premolars(T11), the protrusive facets (f7) of the artificial teeth for maxillaryfirst premolars (T4) glide along the protrusive facets (f35) of theartificial teeth for mandibular second premolars (T12), the protrusivefacets (f10) of the artificial teeth for maxillary second premolars (T5)glide along the protrusive facets (f39) of the artificial teeth formandibular first molars (T13), the protrusive facets (f13) of theartificial teeth for maxillary first molars (T6) glide along theprotrusive facets (f42) of the artificial teeth for mandibular firstmolars (T13), the protrusive facets (f15) of the artificial teeth formaxillary first molars (T6) glide along the protrusive facets (f45) ofthe artificial teeth for mandibular first molars (T13) and theprotrusive facets (f48) of the artificial teeth for mandibular secondmolars (T14), the balancing facets (f18) of the artificial teeth formaxillary first molars (T6) glide along the protrusive facets (f47) ofthe artificial teeth for mandibular first molars (T13), the protrusivefacets (f21) of the artificial teeth for maxillary second molars (T7)glide along the protrusive facets (f51) of the artificial teeth formandibular second molars (T14), and the protrusive facets (f25) of theartificial teeth for maxillary second molars (T7) glide along theprotrusive facets (f54) of the artificial teeth for mandibular secondmolars (T14).